387675400 has 96 divisors (see below), whose sum is σ = 1045736640. Its totient is φ = 130901760.

The previous prime is 387675397. The next prime is 387675403. The reversal of 387675400 is 4576783.

It is an interprime number because it is at equal distance from previous prime (387675397) and next prime (387675403).

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

It is not an unprimeable number, because it can be changed into a prime (387675403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91734 + ... + 95866.

It is an arithmetic number, because the mean of its divisors is an integer number (10893090).

Almost surely, 2^387675400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522868320).

387675400 is an abundant number, since it is smaller than the sum of its proper divisors (658061240).

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

387675400 is a wasteful number, since it uses less digits than its factorization.

387675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 387675400 is about 19689.4743454466. The cubic root of 387675400 is about 729.1598516188.

The spelling of 387675400 in words is "three hundred eighty-seven million, six hundred seventy-five thousand, four hundred".