460531008 has 350 divisors, whose sum is σ = 1635632746. Its totient is φ = 128024064.

The previous prime is 460530979. The next prime is 460531031. The reversal of 460531008 is 800135064.

It can be written as a sum of positive squares in only one way, i.e., 448084224 + 12446784 = 21168^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 49 ways as a sum of consecutive naturals, for example, 12446766 + ... + 12446802.

Almost surely, 2^460531008 is an apocalyptic number.

460531008 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 460531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817816373).

460531008 is an abundant number, since it is smaller than the sum of its proper divisors (1175101738).

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

460531008 is an frugal number, since it uses more digits than its factorization.

460531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 460531008 is about 21459.9862068921. The cubic root of 460531008 is about 772.2411839160.

The spelling of 460531008 in words is "four hundred sixty million, five hundred thirty-one thousand, eight".