387407200 has 36 divisors (see below), whose sum is σ = 945759780. Its totient is φ = 154962560.

The previous prime is 387407177. The next prime is 387407213. The reversal of 387407200 is 2704783.

It is a super-2 number, since 2×387407200² = 300168677223680000, 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 5 ways as a sum of consecutive naturals, for example, 241330 + ... + 242929.

It is an arithmetic number, because the mean of its divisors is an integer number (26271105).

Almost surely, 2^387407200 is an apocalyptic number.

It is an amenable number.

387407200 is an abundant number, since it is smaller than the sum of its proper divisors (558352580).

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

387407200 is a wasteful number, since it uses less digits than its factorization.

387407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484279 (or 484266 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 387407200 is about 19682.6624215323. The cubic root of 387407200 is about 728.9916647054.

The spelling of 387407200 in words is "three hundred eighty-seven million, four hundred seven thousand, two hundred".