54075400 has 48 divisors (see below), whose sum is σ = 127017540. Its totient is φ = 21408000.

The previous prime is 54075367. The next prime is 54075403. The reversal of 54075400 is 457045.

It can be written as a sum of positive squares in 6 ways, for example, as 17859076 + 36216324 = 4226^2 + 6018^2 .

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

It is not an unprimeable number, because it can be changed into a prime (54075403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18862 + ... + 21538.

Almost surely, 2^54075400 is an apocalyptic number.

54075400 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 54075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63508770).

54075400 is an abundant number, since it is smaller than the sum of its proper divisors (72942140).

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

54075400 is a wasteful number, since it uses less digits than its factorization.

54075400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 54075400 is about 7353.5977589205. The cubic root of 54075400 is about 378.1521554616.

The spelling of 54075400 in words is "fifty-four million, seventy-five thousand, four hundred".