633472 has 48 divisors (see below), whose sum is σ = 1482570. Its totient is φ = 268800.

The previous prime is 633469. The next prime is 633473. The reversal of 633472 is 274336.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 254016 = 616^2 + 504^2 .

It is not an unprimeable number, because it can be changed into a prime (633473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6222 + ... + 6322.

2⁶³³⁴⁷² 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 633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741285).

633472 is an abundant number, since it is smaller than the sum of its proper divisors (849098).

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

633472 is a wasteful number, since it uses less digits than its factorization.

633472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its digits is 3024, while the sum is 25.

The square root of 633472 is about 795.9095425989. The cubic root of 633472 is about 85.8833825890.

The spelling of 633472 in words is "six hundred thirty-three thousand, four hundred seventy-two".