460434120 has 128 divisors (see below), whose sum is σ = 1481587200. Its totient is φ = 114057216.

The previous prime is 460434101. The next prime is 460434127. The reversal of 460434120 is 21434064.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (460434127) 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, 159732 + ... + 162588.

It is an arithmetic number, because the mean of its divisors is an integer number (11574900).

Almost surely, 2^460434120 is an apocalyptic number.

460434120 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 460434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740793600).

460434120 is an abundant number, since it is smaller than the sum of its proper divisors (1021153080).

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

460434120 is a wasteful number, since it uses less digits than its factorization.

460434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 460434120 is about 21457.7286775651. The cubic root of 460434120 is about 772.1870245868.

Adding to 460434120 its reverse (21434064), we get a palindrome (481868184).

The spelling of 460434120 in words is "four hundred sixty million, four hundred thirty-four thousand, one hundred twenty".