459749160 has 192 divisors, whose sum is σ = 1620637200. Its totient is φ = 112361472.

The previous prime is 459749141. The next prime is 459749167. The reversal of 459749160 is 61947954.

459749160 is a `hidden beast` number, since 4 + 597 + 49 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 126832644 + 332916516 = 11262^2 + 18246^2 .

It is a super-2 number, since 2×459749160² = 422738580241411200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (459749167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902986 + ... + 903494.

Almost surely, 2^459749160 is an apocalyptic number.

459749160 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 459749160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810318600).

459749160 is an abundant number, since it is smaller than the sum of its proper divisors (1160888040).

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

459749160 is a wasteful number, since it uses less digits than its factorization.

459749160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 459749160 is about 21441.7620544581. The cubic root of 459749160 is about 771.8039225694.

The spelling of 459749160 in words is "four hundred fifty-nine million, seven hundred forty-nine thousand, one hundred sixty".