5679400 has 48 divisors (see below), whose sum is σ = 13419900. Its totient is φ = 2234880.

The previous prime is 5679391. The next prime is 5679407. The reversal of 5679400 is 49765.

It can be written as a sum of positive squares in 6 ways, for example, as 1493284 + 4186116 = 1222^2 + 2046^2 .

It is not an unprimeable number, because it can be changed into a prime (5679407) 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, 14406 + ... + 14794.

Almost surely, 2^5679400 is an apocalyptic number.

5679400 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 5679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709950).

5679400 is an abundant number, since it is smaller than the sum of its proper divisors (7740500).

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

5679400 is a wasteful number, since it uses less digits than its factorization.

5679400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5679400 is about 2383.1491770345. The cubic root of 5679400 is about 178.4161453880.

The spelling of 5679400 in words is "five million, six hundred seventy-nine thousand, four hundred".