5726400 has 84 divisors (see below), whose sum is σ = 18803112. Its totient is φ = 1525760.

The previous prime is 5726393. The next prime is 5726407. The reversal of 5726400 is 46275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5726393) and next prime (5726407).

It is a super-3 number, since 3×5726400³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is not an unprimeable number, because it can be changed into a prime (5726407) 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, 4204 + ... + 5396.

Almost surely, 2^5726400 is an apocalyptic number.

5726400 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 5726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401556).

5726400 is an abundant number, since it is smaller than the sum of its proper divisors (13076712).

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

5726400 is a wasteful number, since it uses less digits than its factorization.

5726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5726400 is about 2392.9897617834. The cubic root of 5726400 is about 178.9069562115.

The spelling of 5726400 in words is "five million, seven hundred twenty-six thousand, four hundred".