390045936 has 80 divisors (see below), whose sum is σ = 1153997568. Its totient is φ = 111206400.

The previous prime is 390045907. The next prime is 390045979. The reversal of 390045936 is 639540093.

It is a junction number, because it is equal to n+sod(n) for n = 390045894 and 390045903.

It is a congruent 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, 214471 + ... + 216281.

Almost surely, 2^390045936 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 390045936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576998784).

390045936 is an abundant number, since it is smaller than the sum of its proper divisors (763951632).

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

390045936 is a wasteful number, since it uses less digits than its factorization.

390045936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 390045936 is about 19749.5806537759. The cubic root of 390045936 is about 730.6430413238.

The spelling of 390045936 in words is "three hundred ninety million, forty-five thousand, nine hundred thirty-six".