390079200 has 432 divisors, whose sum is σ = 1538901504. Its totient is φ = 85478400.

The previous prime is 390079199. The next prime is 390079213. The reversal of 390079200 is 2970093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645547 + ... + 3645653.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^390079200 is an apocalyptic number.

390079200 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 390079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769450752).

390079200 is an abundant number, since it is smaller than the sum of its proper divisors (1148822304).

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

390079200 is a wasteful number, since it uses less digits than its factorization.

390079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 390079200 is about 19750.4227802850. The cubic root of 390079200 is about 730.6638110307.

The spelling of 390079200 in words is "three hundred ninety million, seventy-nine thousand, two hundred".