460170240 has 88 divisors (see below), whose sum is σ = 1471874880. Its totient is φ = 122707968.

The previous prime is 460170211. The next prime is 460170247. The reversal of 460170240 is 42071064.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 460170240.

It is not an unprimeable number, because it can be changed into a prime (460170247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 30339.

Almost surely, 2^460170240 is an apocalyptic number.

460170240 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 460170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735937440).

460170240 is an abundant number, since it is smaller than the sum of its proper divisors (1011704640).

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

460170240 is a wasteful number, since it uses less digits than its factorization.

460170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29987 (or 29969 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 460170240 is about 21451.5789628642. The cubic root of 460170240 is about 772.0394800252.

The spelling of 460170240 in words is "four hundred sixty million, one hundred seventy thousand, two hundred forty".