464457312 has 72 divisors (see below), whose sum is σ = 1440883080. Its totient is φ = 140743680.

The previous prime is 464457311. The next prime is 464457341. The reversal of 464457312 is 213754464.

464457312 is a `hidden beast` number, since 4 + 644 + 5 + 7 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464457311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70137 + ... + 76472.

It is an arithmetic number, because the mean of its divisors is an integer number (20012265).

Almost surely, 2^464457312 is an apocalyptic number.

It is an amenable number.

464457312 is an abundant number, since it is smaller than the sum of its proper divisors (976425768).

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

464457312 is a wasteful number, since it uses less digits than its factorization.

464457312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146636 (or 146625 counting only the distinct ones).

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

The square root of 464457312 is about 21551.2717026165. The cubic root of 464457312 is about 774.4295834554.

The spelling of 464457312 in words is "four hundred sixty-four million, four hundred fifty-seven thousand, three hundred twelve".