955957464 has 640 divisors, whose sum is σ = 3763584000. Its totient is φ = 223534080.

The previous prime is 955957451. The next prime is 955957477. The reversal of 955957464 is 464759559.

955957464 is a `hidden beast` number, since 9 + 5 + 5 + 9 + 574 + 64 = 666.

955957464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (955957451) and next prime (955957477).

It is a super-2 number, since 2×955957464² = 1827709345954622592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6804000) is a multiple of the sum of its prime divisors (63).

It is a self number, because there is not a number n which added to its sum of digits gives 955957464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41563357 + ... + 41563379.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2^955957464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 955957464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881792000).

955957464 is an abundant number, since it is smaller than the sum of its proper divisors (2807626536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

955957464 is a wasteful number, since it uses less digits than its factorization.

955957464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 955957464 is about 30918.5618035510. The cubic root of 955957464 is about 985.0981938921.

The spelling of 955957464 in words is "nine hundred fifty-five million, nine hundred fifty-seven thousand, four hundred sixty-four".