390433472 has 112 divisors (see below), whose sum is σ = 935626272. Its totient is φ = 159252480.

The previous prime is 390433469. The next prime is 390433501. The reversal of 390433472 is 274334093.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338048 + ... + 339200.

It is an arithmetic number, because the mean of its divisors is an integer number (8353806).

Almost surely, 2^390433472 is an apocalyptic number.

390433472 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 390433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467813136).

390433472 is an abundant number, since it is smaller than the sum of its proper divisors (545192800).

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

390433472 is a wasteful number, since it uses less digits than its factorization.

390433472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 390433472 is about 19759.3894642522. The cubic root of 390433472 is about 730.8849416840.

The spelling of 390433472 in words is "three hundred ninety million, four hundred thirty-three thousand, four hundred seventy-two".