338409472 has 48 divisors (see below), whose sum is σ = 679999320. Its totient is φ = 168370176.

The previous prime is 338409469. The next prime is 338409493. The reversal of 338409472 is 274904833.

It is a super-2 number, since 2×338409472² = 229041941478637568, 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 3 ways as a sum of consecutive naturals, for example, 763683 + ... + 764125.

Almost surely, 2^338409472 is an apocalyptic number.

338409472 is a gapful number since it is divisible by the number (32) 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 338409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339999660).

338409472 is an abundant number, since it is smaller than the sum of its proper divisors (341589848).

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

338409472 is an equidigital number, since it uses as much as digits as its factorization.

338409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 338409472 is about 18395.9091104517. The cubic root of 338409472 is about 696.8631559906.

The spelling of 338409472 in words is "three hundred thirty-eight million, four hundred nine thousand, four hundred seventy-two".