54352400 has 60 divisors (see below), whose sum is σ = 138280212. Its totient is φ = 20459520.

The previous prime is 54352399. The next prime is 54352423. The reversal of 54352400 is 425345.

It can be written as a sum of positive squares in 6 ways, for example, as 2972176 + 51380224 = 1724^2 + 7168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2804 + ... + 10796.

Almost surely, 2^54352400 is an apocalyptic number.

54352400 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 54352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69140106).

54352400 is an abundant number, since it is smaller than the sum of its proper divisors (83927812).

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

54352400 is a wasteful number, since it uses less digits than its factorization.

54352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 54352400 is about 7372.4080190939. The cubic root of 54352400 is about 378.7967479976.

Adding to 54352400 its reverse (425345), we get a palindrome (54777745).

The spelling of 54352400 in words is "fifty-four million, three hundred fifty-two thousand, four hundred".