464889088 has 72 divisors (see below), whose sum is σ = 952340480. Its totient is φ = 226437120.

The previous prime is 464889067. The next prime is 464889137. The reversal of 464889088 is 880988464.

It is a super-2 number, since 2×464889088² = 432243728282943488, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2568358 + ... + 2568538.

Almost surely, 2^464889088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476170240).

464889088 is an abundant number, since it is smaller than the sum of its proper divisors (487451392).

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

464889088 is a wasteful number, since it uses less digits than its factorization.

464889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The square root of 464889088 is about 21561.2867890578. The cubic root of 464889088 is about 774.6694882040.

The spelling of 464889088 in words is "four hundred sixty-four million, eight hundred eighty-nine thousand, eighty-eight".