634221504 has 252 divisors, whose sum is σ = 2208879504. Its totient is φ = 173150208.

The previous prime is 634221493. The next prime is 634221587. The reversal of 634221504 is 405122436.

634221504 is a `hidden beast` number, since 634 + 2 + 21 + 5 + 0 + 4 = 666.

634221504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×634221504² = 804473832272044032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648664 + ... + 649640.

Almost surely, 2^634221504 is an apocalyptic number.

634221504 is a gapful number since it is divisible by the number (64) 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 634221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104439752).

634221504 is an abundant number, since it is smaller than the sum of its proper divisors (1574658000).

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

634221504 is a wasteful number, since it uses less digits than its factorization.

634221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 634221504 is about 25183.7547637361. The cubic root of 634221504 is about 859.1724073825.

The spelling of 634221504 in words is "six hundred thirty-four million, two hundred twenty-one thousand, five hundred four".