460221520 has 80 divisors (see below), whose sum is σ = 1174424832. Its totient is φ = 166330880.

The previous prime is 460221511. The next prime is 460221521. The reversal of 460221520 is 25122064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×460221520² = 423607694942220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 460221491 and 460221500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460221521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150729 + ... + 153751.

Almost surely, 2^460221520 is an apocalyptic number.

460221520 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 460221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587212416).

460221520 is an abundant number, since it is smaller than the sum of its proper divisors (714203312).

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

460221520 is a wasteful number, since it uses less digits than its factorization.

460221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 460221520 is about 21452.7741795787. The cubic root of 460221520 is about 772.0681568862.

Adding to 460221520 its reverse (25122064), we get a palindrome (485343584).

The spelling of 460221520 in words is "four hundred sixty million, two hundred twenty-one thousand, five hundred twenty".