502438464 has 294 divisors, whose sum is σ = 1661567670. Its totient is φ = 150543360.

The previous prime is 502438459. The next prime is 502438589. The reversal of 502438464 is 464834205.

It can be written as a sum of positive squares in only one way, i.e., 361304064 + 141134400 = 19008^2 + 11880^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5645332 + ... + 5645420.

Almost surely, 2^502438464 is an apocalyptic number.

502438464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830783835).

502438464 is an abundant number, since it is smaller than the sum of its proper divisors (1159129206).

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

502438464 is an equidigital number, since it uses as much as digits as its factorization.

502438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 502438464 is about 22415.1391697665. The cubic root of 502438464 is about 794.9887075648.

The spelling of 502438464 in words is "five hundred two million, four hundred thirty-eight thousand, four hundred sixty-four".