390137472 has 224 divisors, whose sum is σ = 1207393380. Its totient is φ = 125411328.

The previous prime is 390137443. The next prime is 390137479. The reversal of 390137472 is 274731093.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 3779136 = 19656^2 + 1944^2 .

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 (390137479) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3452488 + ... + 3452600.

Almost surely, 2^390137472 is an apocalyptic number.

390137472 is a gapful number since it is divisible by the number (32) 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 390137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603696690).

390137472 is an abundant number, since it is smaller than the sum of its proper divisors (817255908).

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

390137472 is an equidigital number, since it uses as much as digits as its factorization.

390137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 390137472 is about 19751.8979341227. The cubic root of 390137472 is about 730.7001926353.

The spelling of 390137472 in words is "three hundred ninety million, one hundred thirty-seven thousand, four hundred seventy-two".