501437664 has 432 divisors, whose sum is σ = 1887211872. Its totient is φ = 122923008.

The previous prime is 501437623. The next prime is 501437711. The reversal of 501437664 is 466734105.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9461062 + ... + 9461114.

It is an arithmetic number, because the mean of its divisors is an integer number (4368546).

Almost surely, 2^501437664 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 501437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943605936).

501437664 is an abundant number, since it is smaller than the sum of its proper divisors (1385774208).

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

501437664 is a wasteful number, since it uses less digits than its factorization.

501437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 501437664 is about 22392.8038440924. The cubic root of 501437664 is about 794.4605144921.

The spelling of 501437664 in words is "five hundred one million, four hundred thirty-seven thousand, six hundred sixty-four".