501407984 has 120 divisors (see below), whose sum is σ = 1257227568. Its totient is φ = 191493120.

The previous prime is 501407939. The next prime is 501407987. The reversal of 501407984 is 489704105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501407987) 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, 456524 + ... + 457620.

Almost surely, 2^501407984 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 501407984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628613784).

501407984 is an abundant number, since it is smaller than the sum of its proper divisors (755819584).

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

501407984 is a wasteful number, since it uses less digits than its factorization.

501407984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 501407984 is about 22392.1411213845. The cubic root of 501407984 is about 794.4448395272. Note that the first 3 decimals are identical.

The spelling of 501407984 in words is "five hundred one million, four hundred seven thousand, nine hundred eighty-four".