54090400 has 144 divisors (see below), whose sum is σ = 162739584. Its totient is φ = 17095680.

The previous prime is 54090383. The next prime is 54090419. The reversal of 54090400 is 409045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72429 + ... + 73171.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^54090400 is an apocalyptic number.

54090400 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 54090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792).

54090400 is an abundant number, since it is smaller than the sum of its proper divisors (108649184).

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

54090400 is a wasteful number, since it uses less digits than its factorization.

54090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 54090400 is about 7354.6175971290. The cubic root of 54090400 is about 378.1871174957.

Adding to 54090400 its reverse (409045), we get a palindrome (54499445).

The spelling of 54090400 in words is "fifty-four million, ninety thousand, four hundred".