464080464 has 30 divisors (see below), whose sum is σ = 1298781146. Its totient is φ = 154693440.

The previous prime is 464080459. The next prime is 464080483.

464080464 is a `hidden beast` number, since 4 + 640 + 8 + 0 + 4 + 6 + 4 = 666.

464080464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 268304400 + 195776064 = 16380^2 + 13992^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1611247 + ... + 1611534.

Almost surely, 2^464080464 is an apocalyptic number.

It is an amenable number.

464080464 is an abundant number, since it is smaller than the sum of its proper divisors (834700682).

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

464080464 is a wasteful number, since it uses less digits than its factorization.

464080464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222795 (or 3222786 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 464080464 is about 21542.5268712842. The cubic root of 464080464 is about 774.2200764324.

The spelling of 464080464 in words is "four hundred sixty-four million, eighty thousand, four hundred sixty-four".