338461520 has 40 divisors (see below), whose sum is σ = 788313384. Its totient is φ = 135145472.

The previous prime is 338461511. The next prime is 338461553. The reversal of 338461520 is 25164833.

It can be written as a sum of positive squares in 4 ways, for example, as 36675136 + 301786384 = 6056^2 + 17372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×338461520² = 229112401041420800, 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 7 ways as a sum of consecutive naturals, for example, 45932 + ... + 52788.

Almost surely, 2^338461520 is an apocalyptic number.

It is an amenable number.

338461520 is an abundant number, since it is smaller than the sum of its proper divisors (449851864).

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

338461520 is a wasteful number, since it uses less digits than its factorization.

338461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7487 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 338461520 is about 18397.3237184108. The cubic root of 338461520 is about 696.8988804381.

The spelling of 338461520 in words is "three hundred thirty-eight million, four hundred sixty-one thousand, five hundred twenty".