459494400 has 264 divisors, whose sum is σ = 1575764224. Its totient is φ = 117964800.

The previous prime is 459494393. The next prime is 459494417. The reversal of 459494400 is 4494954.

It is a super-2 number, since 2×459494400² = 422270207262720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380704 + ... + 2380896.

Almost surely, 2^459494400 is an apocalyptic number.

459494400 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 459494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787882112).

459494400 is an abundant number, since it is smaller than the sum of its proper divisors (1116269824).

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

459494400 is a wasteful number, since it uses less digits than its factorization.

459494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 459494400 is about 21435.8204881455. The cubic root of 459494400 is about 771.6613367755.

The spelling of 459494400 in words is "four hundred fifty-nine million, four hundred ninety-four thousand, four hundred".