338411520 has 360 divisors, whose sum is σ = 1288136304. Its totient is φ = 84934656.

The previous prime is 338411497. The next prime is 338411533. The reversal of 338411520 is 25114833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×338411520² = 229044713737420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906552 + ... + 19906568.

Almost surely, 2^338411520 is an apocalyptic number.

338411520 is a gapful number since it is divisible by the number (30) 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 338411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644068152).

338411520 is an abundant number, since it is smaller than the sum of its proper divisors (949724784).

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

338411520 is an frugal number, since it uses more digits than its factorization.

338411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 338411520 is about 18395.9647749174. The cubic root of 338411520 is about 696.8645617559.

The spelling of 338411520 in words is "three hundred thirty-eight million, four hundred eleven thousand, five hundred twenty".