5576400 has 90 divisors (see below), whose sum is σ = 19364150. Its totient is φ = 1486080.

The previous prime is 5576399. The next prime is 5576401. The reversal of 5576400 is 46755.

It is an interprime number because it is at equal distance from previous prime (5576399) and next prime (5576401).

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 5419584 = 396^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5576401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2826 + ... + 4374.

Almost surely, 2^5576400 is an apocalyptic number.

5576400 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 5576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682075).

5576400 is an abundant number, since it is smaller than the sum of its proper divisors (13787750).

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

5576400 is a wasteful number, since it uses less digits than its factorization.

5576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5576400 is about 2361.4402384985. The cubic root of 5576400 is about 177.3309903523.

The spelling of 5576400 in words is "five million, five hundred seventy-six thousand, four hundred".