459808740 has 144 divisors (see below), whose sum is σ = 1515870720. Its totient is φ = 112389120.

The previous prime is 459808733. The next prime is 459808763. The reversal of 459808740 is 47808954.

459808740 is a `hidden beast` number, since 459 + 80 + 87 + 40 = 666.

It is a super-2 number, since 2×459808740² = 422848154760775200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103852 + ... + 108188.

It is an arithmetic number, because the mean of its divisors is an integer number (10526880).

Almost surely, 2^459808740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459808740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757935360).

459808740 is an abundant number, since it is smaller than the sum of its proper divisors (1056061980).

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

459808740 is a wasteful number, since it uses less digits than its factorization.

459808740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 459808740 is about 21443.1513542203. The cubic root of 459808740 is about 771.8372611052.

The spelling of 459808740 in words is "four hundred fifty-nine million, eight hundred eight thousand, seven hundred forty".