459484416 has 54 divisors (see below), whose sum is σ = 1324813490. Its totient is φ = 153160704.

The previous prime is 459484397. The next prime is 459484481. The reversal of 459484416 is 614484954.

459484416 is a `hidden beast` number, since 4 + 594 + 8 + 44 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387302400 + 72182016 = 19680^2 + 8496^2 .

It is a super-2 number, since 2×459484416² = 422251857093722112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97411 + ... + 102018.

Almost surely, 2^459484416 is an apocalyptic number.

It is an amenable number.

459484416 is an abundant number, since it is smaller than the sum of its proper divisors (865329074).

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

459484416 is a wasteful number, since it uses less digits than its factorization.

459484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199451 (or 199434 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 459484416 is about 21435.5876056618. The cubic root of 459484416 is about 771.6557477900.

The spelling of 459484416 in words is "four hundred fifty-nine million, four hundred eighty-four thousand, four hundred sixteen".