459700164 has 288 divisors, whose sum is σ = 1551312000. Its totient is φ = 116363520.

The previous prime is 459700151. The next prime is 459700181. The reversal of 459700164 is 461007954.

459700164 is a `hidden beast` number, since 4 + 597 + 0 + 0 + 1 + 64 = 666.

It is a super-2 number, since 2×459700164² = 422648481563253792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3085162 + ... + 3085310.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^459700164 is an apocalyptic number.

459700164 is a gapful number since it is divisible by the number (44) 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 459700164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656000).

459700164 is an abundant number, since it is smaller than the sum of its proper divisors (1091611836).

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

459700164 is a wasteful number, since it uses less digits than its factorization.

459700164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

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

The square root of 459700164 is about 21440.6194873189. The cubic root of 459700164 is about 771.7765042496.

The spelling of 459700164 in words is "four hundred fifty-nine million, seven hundred thousand, one hundred sixty-four".