390873792 has 112 divisors (see below), whose sum is σ = 1130637312. Its totient is φ = 118640640.

The previous prime is 390873733. The next prime is 390873793. The reversal of 390873792 is 297378093.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (390873793) 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, 99253 + ... + 103115.

It is an arithmetic number, because the mean of its divisors is an integer number (10094976).

Almost surely, 2^390873792 is an apocalyptic number.

390873792 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 390873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565318656).

390873792 is an abundant number, since it is smaller than the sum of its proper divisors (739763520).

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

390873792 is a wasteful number, since it uses less digits than its factorization.

390873792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 390873792 is about 19770.5283692672. The cubic root of 390873792 is about 731.1595956906.

The spelling of 390873792 in words is "three hundred ninety million, eight hundred seventy-three thousand, seven hundred ninety-two".