463401888 has 72 divisors (see below), whose sum is σ = 1257185664. Its totient is φ = 149454720.

The previous prime is 463401863. The next prime is 463401893. The reversal of 463401888 is 888104364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89745 + ... + 94767.

It is an arithmetic number, because the mean of its divisors is an integer number (17460912).

Almost surely, 2^463401888 is an apocalyptic number.

463401888 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 463401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628592832).

463401888 is an abundant number, since it is smaller than the sum of its proper divisors (793783776).

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

463401888 is a wasteful number, since it uses less digits than its factorization.

463401888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 463401888 is about 21526.7714253671. The cubic root of 463401888 is about 773.8425388611.

The spelling of 463401888 in words is "four hundred sixty-three million, four hundred one thousand, eight hundred eighty-eight".