54370400 has 216 divisors, whose sum is σ = 164755080. Its totient is φ = 17418240.

The previous prime is 54370363. The next prime is 54370411. The reversal of 54370400 is 407345.

It is a super-2 number, since 2×54370400² = 5912280792320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 744764 + ... + 744836.

It is an arithmetic number, because the mean of its divisors is an integer number (762755).

Almost surely, 2^54370400 is an apocalyptic number.

54370400 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 54370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82377540).

54370400 is an abundant number, since it is smaller than the sum of its proper divisors (110384680).

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

54370400 is a wasteful number, since it uses less digits than its factorization.

54370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 54370400 is about 7373.6286860677. The cubic root of 54370400 is about 378.8385590241.

Adding to 54370400 its reverse (407345), we get a palindrome (54777745).

The spelling of 54370400 in words is "fifty-four million, three hundred seventy thousand, four hundred".