633274400 has 72 divisors (see below), whose sum is σ = 1686548304. Its totient is φ = 230278400.

The previous prime is 633274399. The next prime is 633274403. The reversal of 633274400 is 4472336.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (633274403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27182 + ... + 44781.

It is an arithmetic number, because the mean of its divisors is an integer number (23424282).

Almost surely, 2^633274400 is an apocalyptic number.

It is an amenable number.

633274400 is an abundant number, since it is smaller than the sum of its proper divisors (1053273904).

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

633274400 is a wasteful number, since it uses less digits than its factorization.

633274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71994 (or 71981 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 633274400 is about 25164.9438703924. The cubic root of 633274400 is about 858.7445174368.

The spelling of 633274400 in words is "six hundred thirty-three million, two hundred seventy-four thousand, four hundred".