460642440 has 64 divisors (see below), whose sum is σ = 1391256000. Its totient is φ = 122008832.

The previous prime is 460642433. The next prime is 460642453. The reversal of 460642440 is 44246064.

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 = 460642398 and 460642407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999 + ... + 30761.

It is an arithmetic number, because the mean of its divisors is an integer number (21738375).

Almost surely, 2^460642440 is an apocalyptic number.

460642440 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 460642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695628000).

460642440 is an abundant number, since it is smaller than the sum of its proper divisors (930613560).

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

460642440 is a wasteful number, since it uses less digits than its factorization.

460642440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25926 (or 25922 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 460642440 is about 21462.5823236627. The cubic root of 460642440 is about 772.3034637904.

The spelling of 460642440 in words is "four hundred sixty million, six hundred forty-two thousand, four hundred forty".