459916400 has 60 divisors (see below), whose sum is σ = 1117450800. Its totient is φ = 181885440.

The previous prime is 459916367. The next prime is 459916411. The reversal of 459916400 is 4619954.

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, 29141 + ... + 42059.

It is an arithmetic number, because the mean of its divisors is an integer number (18624180).

Almost surely, 2^459916400 is an apocalyptic number.

459916400 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 459916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558725400).

459916400 is an abundant number, since it is smaller than the sum of its proper divisors (657534400).

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

459916400 is a wasteful number, since it uses less digits than its factorization.

459916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 459916400 is about 21445.6615659205. The cubic root of 459916400 is about 771.8974959432.

The spelling of 459916400 in words is "four hundred fifty-nine million, nine hundred sixteen thousand, four hundred".