5946574400 has 336 divisors, whose sum is σ = 17038076160. Its totient is φ = 2023833600.

The previous prime is 5946574391. The next prime is 5946574421. The reversal of 5946574400 is 44756495.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16203017 + ... + 16203383.

It is an arithmetic number, because the mean of its divisors is an integer number (50708560).

Almost surely, 2^5946574400 is an apocalyptic number.

5946574400 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 5946574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519038080).

5946574400 is an abundant number, since it is smaller than the sum of its proper divisors (11091501760).

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

5946574400 is a wasteful number, since it uses less digits than its factorization.

5946574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 5946574400 is about 77114.0350390252. The cubic root of 5946574400 is about 1811.7111297112.

The spelling of 5946574400 in words is "five billion, nine hundred forty-six million, five hundred seventy-four thousand, four hundred".