460097724240 has 480 divisors, whose sum is σ = 2010198767616. Its totient is φ = 91447741440.

The previous prime is 460097724211. The next prime is 460097724241. The reversal of 460097724240 is 42427790064.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460097724241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1094707 + ... + 1455533.

Almost surely, 2^460097724240 is an apocalyptic number.

460097724240 is a gapful number since it is divisible by the number (40) 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 460097724240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005099383808).

460097724240 is an abundant number, since it is smaller than the sum of its proper divisors (1550101043376).

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

460097724240 is a wasteful number, since it uses less digits than its factorization.

460097724240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360887 (or 360878 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 460097724240 in words is "four hundred sixty billion, ninety-seven million, seven hundred twenty-four thousand, two hundred forty".