390121472 has 48 divisors (see below), whose sum is σ = 840113820. Its totient is φ = 180043776.

The previous prime is 390121463. The next prime is 390121477. The reversal of 390121472 is 274121093.

It can be written as a sum of positive squares in 2 ways, for example, as 389825536 + 295936 = 19744^2 + 544^2 .

It is a super-3 number, since 3×390121472³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (390121477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19298 + ... + 33950.

Almost surely, 2^390121472 is an apocalyptic number.

390121472 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 390121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420056910).

390121472 is an abundant number, since it is smaller than the sum of its proper divisors (449992348).

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

390121472 is a wasteful number, since it uses less digits than its factorization.

390121472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14688 (or 14668 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 390121472 is about 19751.4929056008. The cubic root of 390121472 is about 730.6902035385.

The spelling of 390121472 in words is "three hundred ninety million, one hundred twenty-one thousand, four hundred seventy-two".