955898400 has 144 divisors (see below), whose sum is σ = 3246917184. Its totient is φ = 243809280.

The previous prime is 955898387. The next prime is 955898429. The reversal of 955898400 is 4898559.

It is a happy number.

955898400 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×955898400² = 1827483502245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 955898400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46542 + ... + 63858.

It is an arithmetic number, because the mean of its divisors is an integer number (22548036).

Almost surely, 2^955898400 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 955898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623458592).

955898400 is an abundant number, since it is smaller than the sum of its proper divisors (2291018784).

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

955898400 is a wasteful number, since it uses less digits than its factorization.

955898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17363 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 955898400 is about 30917.6066344082. The cubic root of 955898400 is about 985.0779053192.

The spelling of 955898400 in words is "nine hundred fifty-five million, eight hundred ninety-eight thousand, four hundred".