390541312 has 104 divisors (see below), whose sum is σ = 912936096. Its totient is φ = 163577856.

The previous prime is 390541309. The next prime is 390541321. The reversal of 390541312 is 213145093.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1519488 + ... + 1519744.

Almost surely, 2^390541312 is an apocalyptic number.

390541312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468048).

390541312 is an abundant number, since it is smaller than the sum of its proper divisors (522394784).

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

390541312 is an equidigital number, since it uses as much as digits as its factorization.

390541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 390541312 is about 19762.1181051020. The cubic root of 390541312 is about 730.9522270495.

The spelling of 390541312 in words is "three hundred ninety million, five hundred forty-one thousand, three hundred twelve".