460791072 has 192 divisors, whose sum is σ = 1562400000. Its totient is φ = 129392640.

The previous prime is 460791049. The next prime is 460791073. The reversal of 460791072 is 270197064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460791073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368304 + ... + 369552.

It is an arithmetic number, because the mean of its divisors is an integer number (8137500).

Almost surely, 2^460791072 is an apocalyptic number.

460791072 is a gapful number since it is divisible by the number (42) 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 460791072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200000).

460791072 is an abundant number, since it is smaller than the sum of its proper divisors (1101608928).

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

460791072 is a wasteful number, since it uses less digits than its factorization.

460791072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 460791072 is about 21466.0446286688. The cubic root of 460791072 is about 772.3865192905.

The spelling of 460791072 in words is "four hundred sixty million, seven hundred ninety-one thousand, seventy-two".