38400456 has 32 divisors (see below), whose sum is σ = 96164640. Its totient is φ = 12778368.

The previous prime is 38400443. The next prime is 38400491. The reversal of 38400456 is 65400483.

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, 19635 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (3005145).

Almost surely, 2^38400456 is an apocalyptic number.

It is an amenable number.

38400456 is an abundant number, since it is smaller than the sum of its proper divisors (57764184).

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

38400456 is a wasteful number, since it uses less digits than its factorization.

38400456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 38400456 is about 6196.8101471644. The cubic root of 38400456 is about 337.3744015505.

The spelling of 38400456 in words is "thirty-eight million, four hundred thousand, four hundred fifty-six".