459164040 has 32 divisors (see below), whose sum is σ = 1377492480. Its totient is φ = 122443712.

The previous prime is 459164021. The next prime is 459164059. The reversal of 459164040 is 40461954.

It is an interprime number because it is at equal distance from previous prime (459164021) and next prime (459164059).

It is a junction number, because it is equal to n+sod(n) for n = 459163992 and 459164010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1913064 + ... + 1913303.

It is an arithmetic number, because the mean of its divisors is an integer number (43046640).

Almost surely, 2^459164040 is an apocalyptic number.

459164040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459164040 is an abundant number, since it is smaller than the sum of its proper divisors (918328440).

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

459164040 is a wasteful number, since it uses less digits than its factorization.

459164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826381 (or 3826377 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 459164040 is about 21428.1133093887. The cubic root of 459164040 is about 771.4763601592.

The spelling of 459164040 in words is "four hundred fifty-nine million, one hundred sixty-four thousand, forty".