464710080 has 112 divisors (see below), whose sum is σ = 1480596480. Its totient is φ = 123491328.

The previous prime is 464710069. The next prime is 464710091. The reversal of 464710080 is 80017464.

It is an interprime number because it is at equal distance from previous prime (464710069) and next prime (464710091).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351661 + ... + 352979.

Almost surely, 2^464710080 is an apocalyptic number.

464710080 is a gapful number since it is divisible by the number (40) 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 464710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740298240).

464710080 is an abundant number, since it is smaller than the sum of its proper divisors (1015886400).

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

464710080 is a wasteful number, since it uses less digits than its factorization.

464710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 464710080 is about 21557.1352456675. The cubic root of 464710080 is about 774.5700452459.

The spelling of 464710080 in words is "four hundred sixty-four million, seven hundred ten thousand, eighty".