464986400 has 144 divisors (see below), whose sum is σ = 1218297024. Its totient is φ = 172846080.

The previous prime is 464986381. The next prime is 464986439. The reversal of 464986400 is 4689464.

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 23 ways as a sum of consecutive naturals, for example, 680459 + ... + 681141.

It is an arithmetic number, because the mean of its divisors is an integer number (8460396).

Almost surely, 2^464986400 is an apocalyptic number.

464986400 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 464986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609148512).

464986400 is an abundant number, since it is smaller than the sum of its proper divisors (753310624).

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

464986400 is a wasteful number, since it uses less digits than its factorization.

464986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 464986400 is about 21563.5433080929. The cubic root of 464986400 is about 774.7235364920.

The spelling of 464986400 in words is "four hundred sixty-four million, nine hundred eighty-six thousand, four hundred".