461095008 has 96 divisors (see below), whose sum is σ = 1326326400. Its totient is φ = 139100160.

The previous prime is 461095001. The next prime is 461095043. The reversal of 461095008 is 800590164.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 461095008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461095001) 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, 270543 + ... + 272241.

It is an arithmetic number, because the mean of its divisors is an integer number (13815900).

Almost surely, 2^461095008 is an apocalyptic number.

461095008 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 461095008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663163200).

461095008 is an abundant number, since it is smaller than the sum of its proper divisors (865231392).

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

461095008 is a wasteful number, since it uses less digits than its factorization.

461095008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 461095008 is about 21473.1229214570. The cubic root of 461095008 is about 772.5563030150.

The spelling of 461095008 in words is "four hundred sixty-one million, ninety-five thousand, eight".