460372440 has 128 divisors (see below), whose sum is σ = 1514246400. Its totient is φ = 111045120.

The previous prime is 460372417. The next prime is 460372481. The reversal of 460372440 is 44273064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 460372398 and 460372407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301519 + ... + 303041.

It is an arithmetic number, because the mean of its divisors is an integer number (11830050).

Almost surely, 2^460372440 is an apocalyptic number.

460372440 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 460372440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757123200).

460372440 is an abundant number, since it is smaller than the sum of its proper divisors (1053873960).

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

460372440 is a wasteful number, since it uses less digits than its factorization.

460372440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 460372440 is about 21456.2913850460. The cubic root of 460372440 is about 772.1525421852.

The spelling of 460372440 in words is "four hundred sixty million, three hundred seventy-two thousand, four hundred forty".