459716040 has 512 divisors, whose sum is σ = 1918080000. Its totient is φ = 97542144.

The previous prime is 459716021. The next prime is 459716041. The reversal of 459716040 is 40617954.

459716040 is a `hidden beast` number, since 4 + 597 + 1 + 60 + 4 + 0 = 666.

It is a super-2 number, since 2×459716040² = 422677674866563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 459715986 and 459716004.

It is not an unprimeable number, because it can be changed into a prime (459716041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6297444 + ... + 6297516.

It is an arithmetic number, because the mean of its divisors is an integer number (3746250).

Almost surely, 2^459716040 is an apocalyptic number.

459716040 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 459716040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959040000).

459716040 is an abundant number, since it is smaller than the sum of its proper divisors (1458363960).

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

459716040 is a wasteful number, since it uses less digits than its factorization.

459716040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 459716040 is about 21440.9897159623. The cubic root of 459716040 is about 771.7853887238.

The spelling of 459716040 in words is "four hundred fifty-nine million, seven hundred sixteen thousand, forty".