390377540 has 48 divisors (see below), whose sum is σ = 938044800. Its totient is φ = 133681152.

The previous prime is 390377509. The next prime is 390377543. The reversal of 390377540 is 45773093.

It is a junction number, because it is equal to n+sod(n) for n = 390377494 and 390377503.

It is not an unprimeable number, because it can be changed into a prime (390377543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196271 + ... + 198249.

It is an arithmetic number, because the mean of its divisors is an integer number (19542600).

Almost surely, 2^390377540 is an apocalyptic number.

It is an amenable number.

390377540 is an abundant number, since it is smaller than the sum of its proper divisors (547667260).

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

390377540 is a wasteful number, since it uses less digits than its factorization.

390377540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 38.

The square root of 390377540 is about 19757.9740864290. The cubic root of 390377540 is about 730.8500387605.

The spelling of 390377540 in words is "three hundred ninety million, three hundred seventy-seven thousand, five hundred forty".