464080480 has 24 divisors (see below), whose sum is σ = 1096390512. Its totient is φ = 185632128.

The previous prime is 464080459. The next prime is 464080483. The reversal of 464080480 is 84080464.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464080483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1450092 + ... + 1450411.

It is an arithmetic number, because the mean of its divisors is an integer number (45682938).

Almost surely, 2^464080480 is an apocalyptic number.

464080480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464080480 is an abundant number, since it is smaller than the sum of its proper divisors (632310032).

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

464080480 is a wasteful number, since it uses less digits than its factorization.

464080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900518 (or 2900510 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 464080480 is about 21542.5272426426. The cubic root of 464080480 is about 774.2200853299.

The spelling of 464080480 in words is "four hundred sixty-four million, eighty thousand, four hundred eighty".