390141504 has 63 divisors (see below), whose sum is σ = 1119630603. Its totient is φ = 129889152.

The previous prime is 390141467. The next prime is 390141509. The reversal of 390141504 is 405141093.

The square root of 390141504 is 19752.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (390141509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 473637 + ... + 474459.

Almost surely, 2^390141504 is an apocalyptic number.

390141504 is the 19752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390141504

390141504 is an abundant number, since it is smaller than the sum of its proper divisors (729489099).

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

390141504 is an frugal number, since it uses more digits than its factorization.

390141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 390141504 is about 730.7027098446.

Adding to 390141504 its reverse (405141093), we get a palindrome (795282597).

The spelling of 390141504 in words is "three hundred ninety million, one hundred forty-one thousand, five hundred four".