460291456 has 96 divisors (see below), whose sum is σ = 1018331280. Its totient is φ = 206807040.

The previous prime is 460291453. The next prime is 460291477. The reversal of 460291456 is 654192064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460291453) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 850546 + ... + 851086.

Almost surely, 2^460291456 is an apocalyptic number.

460291456 is a gapful number since it is divisible by the number (46) 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 460291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509165640).

460291456 is an abundant number, since it is smaller than the sum of its proper divisors (558039824).

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

460291456 is a wasteful number, since it uses less digits than its factorization.

460291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 460291456 is about 21454.4041166377. The cubic root of 460291456 is about 772.1072631437.

The spelling of 460291456 in words is "four hundred sixty million, two hundred ninety-one thousand, four hundred fifty-six".