390465416 has 32 divisors (see below), whose sum is σ = 813758400. Its totient is φ = 174133440.

The previous prime is 390465407. The next prime is 390465421. The reversal of 390465416 is 614564093.

It is a super-3 number, since 3×390465416³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 390465416.

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, 37196 + ... + 46523.

It is an arithmetic number, because the mean of its divisors is an integer number (25429950).

Almost surely, 2^390465416 is an apocalyptic number.

It is an amenable number.

390465416 is an abundant number, since it is smaller than the sum of its proper divisors (423292984).

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

390465416 is a wasteful number, since it uses less digits than its factorization.

390465416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83789 (or 83785 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 390465416 is about 19760.1977722896. The cubic root of 390465416 is about 730.9048740187.

The spelling of 390465416 in words is "three hundred ninety million, four hundred sixty-five thousand, four hundred sixteen".