501401664 has 105 divisors (see below), whose sum is σ = 1491106111. Its totient is φ = 166596480.

The previous prime is 501401653. The next prime is 501401671. The reversal of 501401664 is 466104105.

The square root of 501401664 is 22392.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1612069 + ... + 1612379.

Almost surely, 2^501401664 is an apocalyptic number.

501401664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

501401664 is the 22392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501401664

501401664 is an abundant number, since it is smaller than the sum of its proper divisors (989704447).

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

501401664 is an frugal number, since it uses more digits than its factorization.

501401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 501401664 is about 794.4415016516.

Adding to 501401664 its reverse (466104105), we get a palindrome (967505769).

The spelling of 501401664 in words is "five hundred one million, four hundred one thousand, six hundred sixty-four".