460137152 has 56 divisors (see below), whose sum is σ = 949982352. Its totient is φ = 220953600.

The previous prime is 460137127. The next prime is 460137157. The reversal of 460137152 is 251731064.

It is a super-2 number, since 2×460137152² = 423452397301342208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460137157) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 166502 + ... + 169242.

Almost surely, 2^460137152 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 460137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474991176).

460137152 is an abundant number, since it is smaller than the sum of its proper divisors (489845200).

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

460137152 is a wasteful number, since it uses less digits than its factorization.

460137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 460137152 is about 21450.8077237199. The cubic root of 460137152 is about 772.0209753847.

The spelling of 460137152 in words is "four hundred sixty million, one hundred thirty-seven thousand, one hundred fifty-two".