5079400 has 48 divisors (see below), whose sum is σ = 11969100. Its totient is φ = 2004480.

The previous prime is 5079377. The next prime is 5079401. The reversal of 5079400 is 49705.

It can be written as a sum of positive squares in 6 ways, for example, as 1552516 + 3526884 = 1246^2 + 1878^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5079401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21684 + ... + 21916.

Almost surely, 2^5079400 is an apocalyptic number.

5079400 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 5079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984550).

5079400 is an abundant number, since it is smaller than the sum of its proper divisors (6889700).

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

5079400 is a wasteful number, since it uses less digits than its factorization.

5079400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5079400 is about 2253.7524265101. The cubic root of 5079400 is about 171.8979925163.

The spelling of 5079400 in words is "five million, seventy-nine thousand, four hundred".