5261400 has 144 divisors (see below), whose sum is σ = 18376800. Its totient is φ = 1347840.

The previous prime is 5261387. The next prime is 5261419. The reversal of 5261400 is 41625.

It is a happy number.

5261400 is a `hidden beast` number, since 5 + 261 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66561 + ... + 66639.

Almost surely, 2^5261400 is an apocalyptic number.

5261400 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 5261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188400).

5261400 is an abundant number, since it is smaller than the sum of its proper divisors (13115400).

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

5261400 is a wasteful number, since it uses less digits than its factorization.

5261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

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

The square root of 5261400 is about 2293.7741824338. The cubic root of 5261400 is about 173.9270403590.

The spelling of 5261400 in words is "five million, two hundred sixty-one thousand, four hundred".