5376400 has 30 divisors (see below), whose sum is σ = 12917762. Its totient is φ = 2150400.

The previous prime is 5376391. The next prime is 5376407. The reversal of 5376400 is 46735.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 5363856 = 112^2 + 2316^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6321 + ... + 7120.

Almost surely, 2^5376400 is an apocalyptic number.

5376400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5376400 is an abundant number, since it is smaller than the sum of its proper divisors (7541362).

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

5376400 is a wasteful number, since it uses less digits than its factorization.

5376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13459 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 5376400 is about 2318.7065359808. The cubic root of 5376400 is about 175.1851102488.

It can be divided in two parts, 5376 and 400, that added together give a square (5776 = 76²).

The spelling of 5376400 in words is "five million, three hundred seventy-six thousand, four hundred".