460444240 has 80 divisors (see below), whose sum is σ = 1110214656. Its totient is φ = 177408000.

The previous prime is 460444213. The next prime is 460444241. The reversal of 460444240 is 42444064.

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

It is a junction number, because it is equal to n+sod(n) for n = 460444199 and 460444208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460444241) 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, 994249 + ... + 994711.

Almost surely, 2^460444240 is an apocalyptic number.

460444240 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 460444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555107328).

460444240 is an abundant number, since it is smaller than the sum of its proper divisors (649770416).

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

460444240 is a wasteful number, since it uses less digits than its factorization.

460444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 460444240 is about 21457.9644887394. The cubic root of 460444240 is about 772.1926819111.

The spelling of 460444240 in words is "four hundred sixty million, four hundred forty-four thousand, two hundred forty".