460463712 has 48 divisors (see below), whose sum is σ = 1214841600. Its totient is φ = 152710272.

The previous prime is 460463701. The next prime is 460463761. The reversal of 460463712 is 217364064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7053 + ... + 31155.

It is an arithmetic number, because the mean of its divisors is an integer number (25309200).

Almost surely, 2^460463712 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 460463712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607420800).

460463712 is an abundant number, since it is smaller than the sum of its proper divisors (754377888).

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

460463712 is a wasteful number, since it uses less digits than its factorization.

460463712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24315 (or 24307 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 460463712 is about 21458.4182082464. The cubic root of 460463712 is about 772.2035669960.

The spelling of 460463712 in words is "four hundred sixty million, four hundred sixty-three thousand, seven hundred twelve".