460740288 has 112 divisors (see below), whose sum is σ = 1262749824. Its totient is φ = 148162560.

The previous prime is 460740281. The next prime is 460740299. The reversal of 460740288 is 882047064.

It is a super-2 number, since 2×460740288² = 424563225972645888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460740281) 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, 842031 + ... + 842577.

It is an arithmetic number, because the mean of its divisors is an integer number (11274552).

Almost surely, 2^460740288 is an apocalyptic number.

460740288 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 460740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631374912).

460740288 is an abundant number, since it is smaller than the sum of its proper divisors (802009536).

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

460740288 is a wasteful number, since it uses less digits than its factorization.

460740288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 460740288 is about 21464.8617046558. The cubic root of 460740288 is about 772.3581432212.

The spelling of 460740288 in words is "four hundred sixty million, seven hundred forty thousand, two hundred eighty-eight".