387666400 has 72 divisors (see below), whose sum is σ = 1032449544. Its totient is φ = 140966400.

The previous prime is 387666361. The next prime is 387666401. The reversal of 387666400 is 4666783.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387666401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13227 + ... + 30826.

It is an arithmetic number, because the mean of its divisors is an integer number (14339577).

Almost surely, 2^387666400 is an apocalyptic number.

It is an amenable number.

387666400 is an abundant number, since it is smaller than the sum of its proper divisors (644783144).

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

387666400 is a wasteful number, since it uses less digits than its factorization.

387666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44084 (or 44071 counting only the distinct ones).

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

The square root of 387666400 is about 19689.2457956114. The cubic root of 387666400 is about 729.1542090207.

The spelling of 387666400 in words is "three hundred eighty-seven million, six hundred sixty-six thousand, four hundred".