635724480 has 112 divisors (see below), whose sum is σ = 2025761760. Its totient is φ = 168910848.

The previous prime is 635724433. The next prime is 635724497. The reversal of 635724480 is 84427536.

It is a happy number.

It is a super-2 number, since 2×635724480² = 808291228942540800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303276 + ... + 305364.

Almost surely, 2^635724480 is an apocalyptic number.

635724480 is a gapful number since it is divisible by the number (60) 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 635724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012880880).

635724480 is an abundant number, since it is smaller than the sum of its proper divisors (1390037280).

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

635724480 is a wasteful number, since it uses less digits than its factorization.

635724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 635724480 is about 25213.5772947831. The cubic root of 635724480 is about 859.8505599360.

The spelling of 635724480 in words is "six hundred thirty-five million, seven hundred twenty-four thousand, four hundred eighty".