633329472400 has 45 divisors (see below), whose sum is σ = 1521612297553. Its totient is φ = 253325422400.

The previous prime is 633329472361. The next prime is 633329472403. The reversal of 633329472400 is 4274923336.

The square root of 633329472400 is 795820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 227998610064 + 405330862336 = 477492^2 + 636656^2 .

It is a super-2 number, since 2×633329472400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (633329472403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15896505 + ... + 15936295.

Almost surely, 2^633329472400 is an apocalyptic number.

633329472400 is the 795820-th square number.

It is an amenable number.

633329472400 is an abundant number, since it is smaller than the sum of its proper divisors (888282825153).

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

633329472400 is an frugal number, since it uses more digits than its factorization.

633329472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79600 (or 39798 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 43.

The spelling of 633329472400 in words is "six hundred thirty-three billion, three hundred twenty-nine million, four hundred seventy-two thousand, four hundred".