502949664 has 144 divisors (see below), whose sum is σ = 1641826368. Its totient is φ = 143064576.

The previous prime is 502949659. The next prime is 502949669. The reversal of 502949664 is 466949205.

It is an interprime number because it is at equal distance from previous prime (502949659) and next prime (502949669).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (502949669) 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, 638679 + ... + 639465.

It is an arithmetic number, because the mean of its divisors is an integer number (11401572).

Almost surely, 2^502949664 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 502949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820913184).

502949664 is an abundant number, since it is smaller than the sum of its proper divisors (1138876704).

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

502949664 is a wasteful number, since it uses less digits than its factorization.

502949664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 502949664 is about 22426.5392782747. The cubic root of 502949664 is about 795.2582334244.

The spelling of 502949664 in words is "five hundred two million, nine hundred forty-nine thousand, six hundred sixty-four".