459074016 has 72 divisors (see below), whose sum is σ = 1308499920. Its totient is φ = 152672256.

The previous prime is 459074003. The next prime is 459074027. The reversal of 459074016 is 610470954.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143280 + ... + 146448.

It is an arithmetic number, because the mean of its divisors is an integer number (18173610).

Almost surely, 2^459074016 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 459074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654249960).

459074016 is an abundant number, since it is smaller than the sum of its proper divisors (849425904).

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

459074016 is a wasteful number, since it uses less digits than its factorization.

459074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3677 counting only the distinct ones).

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

The square root of 459074016 is about 21426.0126015085. The cubic root of 459074016 is about 771.4259381450.

It can be divided in two parts, 4590 and 74016, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 459074016 in words is "four hundred fifty-nine million, seventy-four thousand, sixteen".