390457540 has 48 divisors (see below), whose sum is σ = 899760960. Its totient is φ = 141150080.

The previous prime is 390457489. The next prime is 390457541. The reversal of 390457540 is 45754093.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 390457540.

It is not an unprimeable number, because it can be changed into a prime (390457541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32931 + ... + 43189.

It is an arithmetic number, because the mean of its divisors is an integer number (18745020).

Almost surely, 2^390457540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390457540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449880480).

390457540 is an abundant number, since it is smaller than the sum of its proper divisors (509303420).

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

390457540 is a wasteful number, since it uses less digits than its factorization.

390457540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 390457540 is about 19759.9984817813. The cubic root of 390457540 is about 730.8999596735.

It can be divided in two parts, 3904575 and 40, that added together give a triangular number (3904615 = T₂₇₉₄).

The spelling of 390457540 in words is "three hundred ninety million, four hundred fifty-seven thousand, five hundred forty".