390414640 has 160 divisors (see below), whose sum is σ = 1151354880. Its totient is φ = 119577600.

The previous prime is 390414601. The next prime is 390414649. The reversal of 390414640 is 46414093.

390414640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×390414640² = 304847182252659200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390414649) 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 31 ways as a sum of consecutive naturals, for example, 375241 + ... + 376279.

It is an arithmetic number, because the mean of its divisors is an integer number (7195968).

Almost surely, 2^390414640 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 390414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575677440).

390414640 is an abundant number, since it is smaller than the sum of its proper divisors (760940240).

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

390414640 is a wasteful number, since it uses less digits than its factorization.

390414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 390414640 is about 19758.9129255635. The cubic root of 390414640 is about 730.8731904319.

It can be divided in two parts, 39041 and 4640, that added together give a square (43681 = 209²).

The spelling of 390414640 in words is "three hundred ninety million, four hundred fourteen thousand, six hundred forty".