460232820 has 192 divisors, whose sum is σ = 1556889600. Its totient is φ = 112440960.

The previous prime is 460232809. The next prime is 460232833. The reversal of 460232820 is 28232064.

460232820 is a `hidden beast` number, since 4 + 602 + 32 + 8 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 317337 + ... + 318783.

It is an arithmetic number, because the mean of its divisors is an integer number (8108800).

Almost surely, 2^460232820 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 460232820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778444800).

460232820 is an abundant number, since it is smaller than the sum of its proper divisors (1096656780).

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

460232820 is a wasteful number, since it uses less digits than its factorization.

460232820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460232820 is about 21453.0375471633. The cubic root of 460232820 is about 772.0744757989.

Adding to 460232820 its reverse (28232064), we get a palindrome (488464884).

The spelling of 460232820 in words is "four hundred sixty million, two hundred thirty-two thousand, eight hundred twenty".