965228400 has 300 divisors, whose sum is σ = 3579594304. Its totient is φ = 249091200.

The previous prime is 965228351. The next prime is 965228413. The reversal of 965228400 is 4822569.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

965228400 is a `hidden beast` number, since 96 + 522 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31136385 + ... + 31136415.

Almost surely, 2^965228400 is an apocalyptic number.

965228400 is a gapful number since it is divisible by the number (90) 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 965228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789797152).

965228400 is an abundant number, since it is smaller than the sum of its proper divisors (2614365904).

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

965228400 is an equidigital number, since it uses as much as digits as its factorization.

965228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 965228400 is about 31068.1251445915. The cubic root of 965228400 is about 988.2724693398.

The spelling of 965228400 in words is "nine hundred sixty-five million, two hundred twenty-eight thousand, four hundred".