390541824 has 240 divisors, whose sum is σ = 1212443232. Its totient is φ = 125411328.

The previous prime is 390541807. The next prime is 390541829. The reversal of 390541824 is 428145093.

390541824 is a `hidden beast` number, since 3 + 90 + 541 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (390541829) 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 23 ways as a sum of consecutive naturals, for example, 5349852 + ... + 5349924.

Almost surely, 2^390541824 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 390541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606221616).

390541824 is an abundant number, since it is smaller than the sum of its proper divisors (821901408).

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

390541824 is an frugal number, since it uses more digits than its factorization.

390541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 390541824 is about 19762.1310591748. The cubic root of 390541824 is about 730.9525464757.

The spelling of 390541824 in words is "three hundred ninety million, five hundred forty-one thousand, eight hundred twenty-four".