508464000 has 512 divisors, whose sum is σ = 2062195200. Its totient is φ = 122112000.

The previous prime is 508463981. The next prime is 508464037. The reversal of 508464000 is 464805.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751947 + ... + 4752053.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^508464000 is an apocalyptic number.

508464000 is a gapful number since it is divisible by the number (50) 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 508464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031097600).

508464000 is an abundant number, since it is smaller than the sum of its proper divisors (1553731200).

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

508464000 is a wasteful number, since it uses less digits than its factorization.

508464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

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

The square root of 508464000 is about 22549.1463253046. The cubic root of 508464000 is about 798.1540773211.

The spelling of 508464000 in words is "five hundred eight million, four hundred sixty-four thousand".