5874457600 has 264 divisors, whose sum is σ = 16594259328. Its totient is φ = 2041036800.

The previous prime is 5874457597. The next prime is 5874457649. The reversal of 5874457600 is 67544785.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6476347 + ... + 6477253.

Almost surely, 2^5874457600 is an apocalyptic number.

5874457600 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 5874457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297129664).

5874457600 is an abundant number, since it is smaller than the sum of its proper divisors (10719801728).

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

5874457600 is a wasteful number, since it uses less digits than its factorization.

5874457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The square root of 5874457600 is about 76645.0102746421. The cubic root of 5874457600 is about 1804.3575085088.

The spelling of 5874457600 in words is "five billion, eight hundred seventy-four million, four hundred fifty-seven thousand, six hundred".