464468000 has 96 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 183417600.

The previous prime is 464467981. The next prime is 464468021. The reversal of 464468000 is 864464.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331301 + ... + 332699.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^464468000 is an apocalyptic number.

464468000 is a gapful number since it is divisible by the number (40) 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 464468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

464468000 is an abundant number, since it is smaller than the sum of its proper divisors (691304800).

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

464468000 is a wasteful number, since it uses less digits than its factorization.

464468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 464468000 is about 21551.5196679956. The cubic root of 464468000 is about 774.4355237500.

The spelling of 464468000 in words is "four hundred sixty-four million, four hundred sixty-eight thousand".