390195360 has 192 divisors, whose sum is σ = 1399628160. Its totient is φ = 101468160.

The previous prime is 390195347. The next prime is 390195361. The reversal of 390195360 is 63591093.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (390195361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176019 + ... + 178221.

It is an arithmetic number, because the mean of its divisors is an integer number (7289730).

Almost surely, 2^390195360 is an apocalyptic number.

390195360 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 390195360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699814080).

390195360 is an abundant number, since it is smaller than the sum of its proper divisors (1009432800).

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

390195360 is a wasteful number, since it uses less digits than its factorization.

390195360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 390195360 is about 19753.3632579366. The cubic root of 390195360 is about 730.7363309061.

The spelling of 390195360 in words is "three hundred ninety million, one hundred ninety-five thousand, three hundred sixty".