338632520 has 32 divisors (see below), whose sum is σ = 806743800. Its totient is φ = 127484928.

The previous prime is 338632513. The next prime is 338632523. The reversal of 338632520 is 25236833.

It can be written as a sum of positive squares in 4 ways, for example, as 310393924 + 28238596 = 17618^2 + 5314^2 .

It is a super-2 number, since 2×338632520² = 229343967203100800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338632523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248315 + ... + 249674.

Almost surely, 2^338632520 is an apocalyptic number.

It is an amenable number.

338632520 is an abundant number, since it is smaller than the sum of its proper divisors (468111280).

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

338632520 is a wasteful number, since it uses less digits than its factorization.

338632520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498017 (or 498013 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 338632520 is about 18401.9705466561. The cubic root of 338632520 is about 697.0162247917.

The spelling of 338632520 in words is "three hundred thirty-eight million, six hundred thirty-two thousand, five hundred twenty".