464482512 has 200 divisors, whose sum is σ = 1525006560. Its totient is φ = 135302400.

The previous prime is 464482507. The next prime is 464482519. The reversal of 464482512 is 215284464.

464482512 is a `hidden beast` number, since 4 + 64 + 4 + 82 + 512 = 666.

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 (464482519) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319387 + ... + 320837.

Almost surely, 2^464482512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464482512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762503280).

464482512 is an abundant number, since it is smaller than the sum of its proper divisors (1060524048).

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

464482512 is a wasteful number, since it uses less digits than its factorization.

464482512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1488 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 464482512 is about 21551.8563469600. The cubic root of 464482512 is about 774.4435892438.

The spelling of 464482512 in words is "four hundred sixty-four million, four hundred eighty-two thousand, five hundred twelve".