508464 has 80 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 152640.

The previous prime is 508451. The next prime is 508471. The reversal of 508464 is 464805.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 508464.

It is an unprimeable number.

508464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4699 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁵⁰⁸⁴⁶⁴ is an apocalyptic number.

508464 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 508464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

508464 is an abundant number, since it is smaller than the sum of its proper divisors (1098576).

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

508464 is a wasteful number, since it uses less digits than its factorization.

508464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 508464 is about 713.0666168038. The cubic root of 508464 is about 79.8154077321.

The spelling of 508464 in words is "five hundred eight thousand, four hundred sixty-four".