460449792 has 192 divisors, whose sum is σ = 1489924800. Its totient is φ = 139345920.

The previous prime is 460449779. The next prime is 460449833. The reversal of 460449792 is 297944064.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607878 + ... + 608634.

It is an arithmetic number, because the mean of its divisors is an integer number (7760025).

Almost surely, 2^460449792 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 460449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744962400).

460449792 is an abundant number, since it is smaller than the sum of its proper divisors (1029475008).

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

460449792 is a wasteful number, since it uses less digits than its factorization.

460449792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 460449792 is about 21458.0938575634. The cubic root of 460449792 is about 772.1957855779.

The spelling of 460449792 in words is "four hundred sixty million, four hundred forty-nine thousand, seven hundred ninety-two".