390139200 has 336 divisors, whose sum is σ = 1553382720. Its totient is φ = 94464000.

The previous prime is 390139199. The next prime is 390139241. The reversal of 390139200 is 2931093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474790 + ... + 475610.

Almost surely, 2^390139200 is an apocalyptic number.

390139200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776691360).

390139200 is an abundant number, since it is smaller than the sum of its proper divisors (1163243520).

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

390139200 is a wasteful number, since it uses less digits than its factorization.

390139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 390139200 is about 19751.9416767061. The cubic root of 390139200 is about 730.7012714414.

The spelling of 390139200 in words is "three hundred ninety million, one hundred thirty-nine thousand, two hundred".