460743472 has 60 divisors (see below), whose sum is σ = 1041964560. Its totient is φ = 196791168.

The previous prime is 460743457. The next prime is 460743487. The reversal of 460743472 is 274347064.

It is an interprime number because it is at equal distance from previous prime (460743457) and next prime (460743487).

It is a super-2 number, since 2×460743472² = 424569093981229568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280638 + ... + 282274.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 2^460743472 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 460743472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520982280).

460743472 is an abundant number, since it is smaller than the sum of its proper divisors (581221088).

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

460743472 is a wasteful number, since it uses less digits than its factorization.

460743472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The square root of 460743472 is about 21464.9358722545. The cubic root of 460743472 is about 772.3599223744.

The spelling of 460743472 in words is "four hundred sixty million, seven hundred forty-three thousand, four hundred seventy-two".