464097312 has 144 divisors (see below), whose sum is σ = 1574052480. Its totient is φ = 126821376.

The previous prime is 464097299. The next prime is 464097371. The reversal of 464097312 is 213790464.

464097312 is a `hidden beast` number, since 4 + 640 + 9 + 7 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41364 + ... + 51372.

It is an arithmetic number, because the mean of its divisors is an integer number (10930920).

Almost surely, 2^464097312 is an apocalyptic number.

464097312 is a gapful number since it is divisible by the number (42) 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 464097312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787026240).

464097312 is an abundant number, since it is smaller than the sum of its proper divisors (1109955168).

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

464097312 is a wasteful number, since it uses less digits than its factorization.

464097312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 464097312 is about 21542.9179082129. The cubic root of 464097312 is about 774.2294454269.

The spelling of 464097312 in words is "four hundred sixty-four million, ninety-seven thousand, three hundred twelve".