5459594400 has 360 divisors, whose sum is σ = 21444932124. Its totient is φ = 1343692800.

The previous prime is 5459594381. The next prime is 5459594411. The reversal of 5459594400 is 44959545.

5459594400 is a `hidden beast` number, since 5 + 4 + 59 + 594 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2421820944 + 3037773456 = 49212^2 + 55116^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5459594400² = 59614342025022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 839160 + ... + 845640.

Almost surely, 2^5459594400 is an apocalyptic number.

5459594400 is a gapful number since it is divisible by the number (50) 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 5459594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722466062).

5459594400 is an abundant number, since it is smaller than the sum of its proper divisors (15985337724).

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

5459594400 is a wasteful number, since it uses less digits than its factorization.

5459594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5459594400 is about 73889.0682036254. The cubic root of 5459594400 is about 1760.8409376631.

The spelling of 5459594400 in words is "five billion, four hundred fifty-nine million, five hundred ninety-four thousand, four hundred".