55472400 has 180 divisors, whose sum is σ = 202886320. Its totient is φ = 13996800.

The previous prime is 55472399. The next prime is 55472437. The reversal of 55472400 is 427455.

55472400 is a `hidden beast` number, since 554 + 72 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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, 67995 + ... + 68805.

Almost surely, 2^55472400 is an apocalyptic number.

55472400 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 55472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101443160).

55472400 is an abundant number, since it is smaller than the sum of its proper divisors (147413920).

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

55472400 is a wasteful number, since it uses less digits than its factorization.

55472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

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

The square root of 55472400 is about 7447.9795918088. The cubic root of 55472400 is about 381.3809404215.

Adding to 55472400 its reverse (427455), we get a palindrome (55899855).

The spelling of 55472400 in words is "fifty-five million, four hundred seventy-two thousand, four hundred".