390361972 has 72 divisors (see below), whose sum is σ = 924267008. Its totient is φ = 140374080.

The previous prime is 390361969. The next prime is 390361987. The reversal of 390361972 is 279163093.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39613 + ... + 48475.

Almost surely, 2^390361972 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 390361972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462133504).

390361972 is an abundant number, since it is smaller than the sum of its proper divisors (533905036).

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

390361972 is a wasteful number, since it uses less digits than its factorization.

390361972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8909 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 390361972 is about 19757.5801149837. The cubic root of 390361972 is about 730.8403233582.

The spelling of 390361972 in words is "three hundred ninety million, three hundred sixty-one thousand, nine hundred seventy-two".