460449696 has 192 divisors, whose sum is σ = 1489453056. Its totient is φ = 121777920.

The previous prime is 460449679. The next prime is 460449749. The reversal of 460449696 is 696944064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14853201 + ... + 14853231.

It is an arithmetic number, because the mean of its divisors is an integer number (7757568).

Almost surely, 2^460449696 is an apocalyptic number.

460449696 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 460449696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744726528).

460449696 is an abundant number, since it is smaller than the sum of its proper divisors (1029003360).

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

460449696 is an equidigital number, since it uses as much as digits as its factorization.

460449696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 460449696 is about 21458.0916206451. The cubic root of 460449696 is about 772.1957319124.

The spelling of 460449696 in words is "four hundred sixty million, four hundred forty-nine thousand, six hundred ninety-six".