54572400 has 240 divisors, whose sum is σ = 201733120. Its totient is φ = 13996800.

The previous prime is 54572377. The next prime is 54572411. The reversal of 54572400 is 427545.

54572400 = 130³ + 131³ + ... + 149³.

54572400 is a `hidden beast` number, since 54 + 572 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×54572400⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 334719 + ... + 334881.

Almost surely, 2^54572400 is an apocalyptic number.

54572400 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 54572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100866560).

54572400 is an abundant number, since it is smaller than the sum of its proper divisors (147160720).

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

54572400 is a wasteful number, since it uses less digits than its factorization.

54572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 54572400 is about 7387.3134494212. The cubic root of 54572400 is about 379.3071400508.

Adding to 54572400 its reverse (427545), we get a palindrome (54999945).

The spelling of 54572400 in words is "fifty-four million, five hundred seventy-two thousand, four hundred".