501225984 has 240 divisors, whose sum is σ = 1698016320. Its totient is φ = 139345920.

The previous prime is 501225983. The next prime is 501225997. The reversal of 501225984 is 489522105.

501225984 is a `hidden beast` number, since 50 + 12 + 2 + 598 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (501225983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322307 + ... + 1322685.

It is an arithmetic number, because the mean of its divisors is an integer number (7075068).

Almost surely, 2^501225984 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 501225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849008160).

501225984 is an abundant number, since it is smaller than the sum of its proper divisors (1196790336).

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

501225984 is a wasteful number, since it uses less digits than its factorization.

501225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 501225984 is about 22388.0768267397. The cubic root of 501225984 is about 794.3487059307.

The spelling of 501225984 in words is "five hundred one million, two hundred twenty-five thousand, nine hundred eighty-four".