5426400 has 288 divisors, whose sum is σ = 22498560. Its totient is φ = 1105920.

The previous prime is 5426387. The next prime is 5426411. The reversal of 5426400 is 46245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 285591 + ... + 285609.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^5426400 is an apocalyptic number.

5426400 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 5426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

5426400 is an abundant number, since it is smaller than the sum of its proper divisors (17072160).

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

5426400 is a wasteful number, since it uses less digits than its factorization.

5426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5426400 is about 2329.4634575369. The cubic root of 5426400 is about 175.7265035932.

The spelling of 5426400 in words is "five million, four hundred twenty-six thousand, four hundred".