5174092800 has 396 divisors, whose sum is σ = 19630296036. Its totient is φ = 1297612800.

The previous prime is 5174092799. The next prime is 5174092801. The reversal of 5174092800 is 82904715.

It is an interprime number because it is at equal distance from previous prime (5174092799) and next prime (5174092801).

It can be written as a sum of positive squares in 6 ways, for example, as 343286784 + 4830806016 = 18528^2 + 69504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5174092801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3916140 + ... + 3917460.

Almost surely, 2^5174092800 is an apocalyptic number.

5174092800 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 5174092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9815148018).

5174092800 is an abundant number, since it is smaller than the sum of its proper divisors (14456203236).

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

5174092800 is a wasteful number, since it uses less digits than its factorization.

5174092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5174092800 is about 71931.1670974411. The cubic root of 5174092800 is about 1729.5962616048.

The spelling of 5174092800 in words is "five billion, one hundred seventy-four million, ninety-two thousand, eight hundred".