464901888 has 144 divisors (see below), whose sum is σ = 1364541696. Its totient is φ = 139345920.

The previous prime is 464901883. The next prime is 464901953. The reversal of 464901888 is 888109464.

It is a super-2 number, since 2×464901888² = 432267530931929088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464901881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954381 + ... + 954867.

It is an arithmetic number, because the mean of its divisors is an integer number (9475984).

Almost surely, 2^464901888 is an apocalyptic number.

464901888 is a gapful number since it is divisible by the number (48) 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 464901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682270848).

464901888 is an abundant number, since it is smaller than the sum of its proper divisors (899639808).

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

464901888 is a wasteful number, since it uses less digits than its factorization.

464901888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 464901888 is about 21561.5836153099. The cubic root of 464901888 is about 774.6765979131.

The spelling of 464901888 in words is "four hundred sixty-four million, nine hundred one thousand, eight hundred eighty-eight".