955844400 has 480 divisors, whose sum is σ = 3786186240. Its totient is φ = 201277440.

The previous prime is 955844399. The next prime is 955844401. The reversal of 955844400 is 4448559.

It is an interprime number because it is at equal distance from previous prime (955844399) and next prime (955844401).

It is a super-2 number, since 2×955844400² = 1827277034022720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (955844401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8458744 + ... + 8458856.

It is an arithmetic number, because the mean of its divisors is an integer number (7887888).

Almost surely, 2^955844400 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 955844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893093120).

955844400 is an abundant number, since it is smaller than the sum of its proper divisors (2830341840).

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

955844400 is a wasteful number, since it uses less digits than its factorization.

955844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 955844400 is about 30916.7333332615. The cubic root of 955844400 is about 985.0593555066.

The spelling of 955844400 in words is "nine hundred fifty-five million, eight hundred forty-four thousand, four hundred".