464570880 has 160 divisors (see below), whose sum is σ = 1497279168. Its totient is φ = 122880000.

The previous prime is 464570857. The next prime is 464570893. The reversal of 464570880 is 88075464.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×464570880² = 431652205087948800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1850755 + ... + 1851005.

Almost surely, 2^464570880 is an apocalyptic number.

464570880 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 464570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584).

464570880 is an abundant number, since it is smaller than the sum of its proper divisors (1032708288).

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

464570880 is a wasteful number, since it uses less digits than its factorization.

464570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 464570880 is about 21553.9063744835. The cubic root of 464570880 is about 774.4926988728.

The spelling of 464570880 in words is "four hundred sixty-four million, five hundred seventy thousand, eight hundred eighty".