54402400 has 72 divisors (see below), whose sum is σ = 143053344. Its totient is φ = 20083200.

The previous prime is 54402389. The next prime is 54402409. The reversal of 54402400 is 420445.

54402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54402400² = 5919242251520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54402409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7785 + ... + 13015.

It is an arithmetic number, because the mean of its divisors is an integer number (1986852).

Almost surely, 2^54402400 is an apocalyptic number.

54402400 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 54402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71526672).

54402400 is an abundant number, since it is smaller than the sum of its proper divisors (88650944).

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

54402400 is a wasteful number, since it uses less digits than its factorization.

54402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 54402400 is about 7375.7982618833. The cubic root of 54402400 is about 378.9128669585.

Adding to 54402400 its reverse (420445), we get a palindrome (54822845).

The spelling of 54402400 in words is "fifty-four million, four hundred two thousand, four hundred".