464400756 has 24 divisors (see below), whose sum is σ = 1204002240. Its totient is φ = 154800216.

The previous prime is 464400743. The next prime is 464400757. The reversal of 464400756 is 657004464.

464400756 is a `hidden beast` number, since 4 + 644 + 0 + 0 + 7 + 5 + 6 = 666.

It is a super-3 number, since 3×464400756³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 464400756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464400757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2149896 + ... + 2150111.

It is an arithmetic number, because the mean of its divisors is an integer number (50166760).

Almost surely, 2^464400756 is an apocalyptic number.

It is an amenable number.

464400756 is an abundant number, since it is smaller than the sum of its proper divisors (739601484).

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

464400756 is a wasteful number, since it uses less digits than its factorization.

464400756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300020 (or 4300012 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 464400756 is about 21549.9595359249. The cubic root of 464400756 is about 774.3981486200.

The spelling of 464400756 in words is "four hundred sixty-four million, four hundred thousand, seven hundred fifty-six".