390375144 has 48 divisors (see below), whose sum is σ = 1059739200. Its totient is φ = 129820704.

The previous prime is 390375137. The next prime is 390375151. The reversal of 390375144 is 441573093.

It is an interprime number because it is at equal distance from previous prime (390375137) and next prime (390375151).

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

It is a junction number, because it is equal to n+sod(n) for n = 390375099 and 390375108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25777 + ... + 38015.

It is an arithmetic number, because the mean of its divisors is an integer number (22077900).

Almost surely, 2^390375144 is an apocalyptic number.

It is an amenable number.

390375144 is an abundant number, since it is smaller than the sum of its proper divisors (669364056).

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

390375144 is a wasteful number, since it uses less digits than its factorization.

390375144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12694 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 390375144 is about 19757.9134525891. The cubic root of 390375144 is about 730.8485435240.

The spelling of 390375144 in words is "three hundred ninety million, three hundred seventy-five thousand, one hundred forty-four".