464919077952 has 504 divisors, whose sum is σ = 1653407290080. Its totient is φ = 124103024640.

The previous prime is 464919077927. The next prime is 464919077957. The reversal of 464919077952 is 259770919464.

464919077952 is a `hidden beast` number, since 4 + 6 + 491 + 90 + 7 + 7 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×464919077952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 464919077952.

It is not an unprimeable number, because it can be changed into a prime (464919077957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66689827 + ... + 66696797.

It is an arithmetic number, because the mean of its divisors is an integer number (3280570020).

Almost surely, 2^464919077952 is an apocalyptic number.

464919077952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464919077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826703645040).

464919077952 is an abundant number, since it is smaller than the sum of its proper divisors (1188488212128).

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

464919077952 is a wasteful number, since it uses less digits than its factorization.

464919077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 464919077952 in words is "four hundred sixty-four billion, nine hundred nineteen million, seventy-seven thousand, nine hundred fifty-two".