460721520 has 300 divisors, whose sum is σ = 1862686584. Its totient is φ = 105235200.

The previous prime is 460721509. The next prime is 460721567. The reversal of 460721520 is 25127064.

460721520 is a `hidden beast` number, since 4 + 607 + 2 + 1 + 52 + 0 = 666.

It is a super-2 number, since 2×460721520² = 424528637982220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316795 + ... + 318245.

Almost surely, 2^460721520 is an apocalyptic number.

460721520 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 460721520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931343292).

460721520 is an abundant number, since it is smaller than the sum of its proper divisors (1401965064).

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

460721520 is a wasteful number, since it uses less digits than its factorization.

460721520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 460721520 is about 21464.4245205875. The cubic root of 460721520 is about 772.3476558854.

Adding to 460721520 its reverse (25127064), we get a palindrome (485848584).

The spelling of 460721520 in words is "four hundred sixty million, seven hundred twenty-one thousand, five hundred twenty".