464064400 has 30 divisors (see below), whose sum is σ = 1114915682. Its totient is φ = 185625600.

The previous prime is 464064383. The next prime is 464064413. The reversal of 464064400 is 4460464.

It can be written as a sum of positive squares in 3 ways, for example, as 68690944 + 395373456 = 8288^2 + 19884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 579681 + ... + 580480.

Almost surely, 2^464064400 is an apocalyptic number.

464064400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464064400 is an abundant number, since it is smaller than the sum of its proper divisors (650851282).

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

464064400 is a wasteful number, since it uses less digits than its factorization.

464064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160179 (or 1160168 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 464064400 is about 21542.1540241453. The cubic root of 464064400 is about 774.2111432008.

It can be divided in two parts, 464064 and 400, that added together give a palindrome (464464).

The spelling of 464064400 in words is "four hundred sixty-four million, sixty-four thousand, four hundred".