390469120 has 80 divisors (see below), whose sum is σ = 944368128. Its totient is φ = 154828800.

The previous prime is 390469081. The next prime is 390469147. The reversal of 390469120 is 21964093.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×390469120² = 304932267347148800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324520 + ... + 325720.

Almost surely, 2^390469120 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 390469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472184064).

390469120 is an abundant number, since it is smaller than the sum of its proper divisors (553899008).

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

390469120 is a wasteful number, since it uses less digits than its factorization.

390469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 390469120 is about 19760.2914958257. The cubic root of 390469120 is about 730.9071851607.

The spelling of 390469120 in words is "three hundred ninety million, four hundred sixty-nine thousand, one hundred twenty".