464630580 has 72 divisors (see below), whose sum is σ = 1461593952. Its totient is φ = 123900192.

The previous prime is 464630561. The next prime is 464630581. The reversal of 464630580 is 85036464.

464630580 is a `hidden beast` number, since 4 + 6 + 46 + 30 + 580 = 666.

It is a super-3 number, since 3×464630580³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (464630581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42942 + ... + 52661.

It is an arithmetic number, because the mean of its divisors is an integer number (20299916).

Almost surely, 2^464630580 is an apocalyptic number.

It is an amenable number.

464630580 is an abundant number, since it is smaller than the sum of its proper divisors (996963372).

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

464630580 is a wasteful number, since it uses less digits than its factorization.

464630580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95627 (or 95613 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 464630580 is about 21555.2912297654. The cubic root of 464630580 is about 774.5258730239.

The spelling of 464630580 in words is "four hundred sixty-four million, six hundred thirty thousand, five hundred eighty".