5126400 has 162 divisors, whose sum is σ = 18533970. Its totient is φ = 1351680.

The previous prime is 5126393. The next prime is 5126411. The reversal of 5126400 is 46215.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 5089536 = 192^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57556 + ... + 57644.

Almost surely, 2^5126400 is an apocalyptic number.

5126400 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 5126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266985).

5126400 is an abundant number, since it is smaller than the sum of its proper divisors (13407570).

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

5126400 is a wasteful number, since it uses less digits than its factorization.

5126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5126400 is about 2264.1554716936. The cubic root of 5126400 is about 172.4265597903.

The spelling of 5126400 in words is "five million, one hundred twenty-six thousand, four hundred".