390140352 has 252 divisors, whose sum is σ = 1359657936. Its totient is φ = 106444800.

The previous prime is 390140339. The next prime is 390140383. The reversal of 390140352 is 253041093.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648852 + ... + 649452.

It is an arithmetic number, because the mean of its divisors is an integer number (5395468).

Almost surely, 2^390140352 is an apocalyptic number.

390140352 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 390140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679828968).

390140352 is an abundant number, since it is smaller than the sum of its proper divisors (969517584).

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

390140352 is a wasteful number, since it uses less digits than its factorization.

390140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 390140352 is about 19751.9708383746. The cubic root of 390140352 is about 730.7019906437.

It can be divided in two parts, 3901 and 40352, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 390140352 in words is "three hundred ninety million, one hundred forty thousand, three hundred fifty-two".