464880960 has 336 divisors, whose sum is σ = 1704148992. Its totient is φ = 116121600.

The previous prime is 464880959. The next prime is 464880971. The reversal of 464880960 is 69088464.

It is a happy number.

It is a super-2 number, since 2×464880960² = 432228613941043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660417 + ... + 3660543.

It is an arithmetic number, because the mean of its divisors is an integer number (5071872).

Almost surely, 2^464880960 is an apocalyptic number.

464880960 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 464880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852074496).

464880960 is an abundant number, since it is smaller than the sum of its proper divisors (1239268032).

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

464880960 is a wasteful number, since it uses less digits than its factorization.

464880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 464880960 is about 21561.0983022665. The cubic root of 464880960 is about 774.6649734711.

The spelling of 464880960 in words is "four hundred sixty-four million, eight hundred eighty thousand, nine hundred sixty".