460611312 has 160 divisors (see below), whose sum is σ = 1400624640. Its totient is φ = 127733760.

The previous prime is 460611257. The next prime is 460611323. The reversal of 460611312 is 213116064.

It is a super-2 number, since 2×460611312² = 424325561484722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2182887 + ... + 2183097.

It is an arithmetic number, because the mean of its divisors is an integer number (8753904).

Almost surely, 2^460611312 is an apocalyptic number.

460611312 is a gapful number since it is divisible by the number (42) 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 460611312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700312320).

460611312 is an abundant number, since it is smaller than the sum of its proper divisors (940013328).

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

460611312 is a wasteful number, since it uses less digits than its factorization.

460611312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 460611312 is about 21461.8571423817. The cubic root of 460611312 is about 772.2860672143.

Adding to 460611312 its reverse (213116064), we get a palindrome (673727376).

The spelling of 460611312 in words is "four hundred sixty million, six hundred eleven thousand, three hundred twelve".