338142400 has 42 divisors (see below), whose sum is σ = 832045580. Its totient is φ = 135256320.

The previous prime is 338142397. The next prime is 338142401. The reversal of 338142400 is 4241833.

It is a super-2 number, since 2×338142400² = 228680565355520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (338142401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104070 + ... + 107269.

Almost surely, 2^338142400 is an apocalyptic number.

It is an amenable number.

338142400 is an abundant number, since it is smaller than the sum of its proper divisors (493903180).

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

338142400 is a wasteful number, since it uses less digits than its factorization.

338142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211361 (or 211346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 338142400 is about 18388.6486724827. The cubic root of 338142400 is about 696.6797867948.

The spelling of 338142400 in words is "three hundred thirty-eight million, one hundred forty-two thousand, four hundred".