54122400 has 108 divisors (see below), whose sum is σ = 190874502. Its totient is φ = 14430720.

The previous prime is 54122389. The next prime is 54122429. The reversal of 54122400 is 422145.

It can be written as a sum of positive squares in 3 ways, for example, as 50296464 + 3825936 = 7092^2 + 1956^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3442 + ... + 10958.

Almost surely, 2^54122400 is an apocalyptic number.

54122400 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 54122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95437251).

54122400 is an abundant number, since it is smaller than the sum of its proper divisors (136752102).

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

54122400 is a wasteful number, since it uses less digits than its factorization.

54122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54122400 is about 7356.7927794658. The cubic root of 54122400 is about 378.2616815713.

Adding to 54122400 its reverse (422145), we get a palindrome (54544545).

The spelling of 54122400 in words is "fifty-four million, one hundred twenty-two thousand, four hundred".