460671008 has 48 divisors (see below), whose sum is σ = 1040195520. Its totient is φ = 196728576.

The previous prime is 460671007. The next prime is 460671011. The reversal of 460671008 is 800176064.

It is a super-2 number, since 2×460671008² = 424435555223472128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (460671007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62123 + ... + 69141.

It is an arithmetic number, because the mean of its divisors is an integer number (21670740).

Almost surely, 2^460671008 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 460671008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520097760).

460671008 is an abundant number, since it is smaller than the sum of its proper divisors (579524512).

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

460671008 is a wasteful number, since it uses less digits than its factorization.

460671008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 460671008 is about 21463.2478436978. The cubic root of 460671008 is about 772.3194289638.

The spelling of 460671008 in words is "four hundred sixty million, six hundred seventy-one thousand, eight".