633394400 has 72 divisors (see below), whose sum is σ = 1554509880. Its totient is φ = 252008960.

The previous prime is 633394373. The next prime is 633394409. The reversal of 633394400 is 4493336.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633394409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155591 + ... + 159609.

It is an arithmetic number, because the mean of its divisors is an integer number (21590415).

Almost surely, 2^633394400 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 633394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777254940).

633394400 is an abundant number, since it is smaller than the sum of its proper divisors (921115480).

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

633394400 is a wasteful number, since it uses less digits than its factorization.

633394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 633394400 is about 25167.3280266301. The cubic root of 633394400 is about 858.7987555543.

The spelling of 633394400 in words is "six hundred thirty-three million, three hundred ninety-four thousand, four hundred".