390253464 has 160 divisors (see below), whose sum is σ = 1191366000. Its totient is φ = 118879488.

The previous prime is 390253447. The next prime is 390253477. The reversal of 390253464 is 464352093.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356502 + ... + 357594.

Almost surely, 2^390253464 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 390253464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595683000).

390253464 is an abundant number, since it is smaller than the sum of its proper divisors (801112536).

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

390253464 is a wasteful number, since it uses less digits than its factorization.

390253464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 390253464 is about 19754.8339400765. The cubic root of 390253464 is about 730.7726004271.

The spelling of 390253464 in words is "three hundred ninety million, two hundred fifty-three thousand, four hundred sixty-four".