55352400 has 120 divisors (see below), whose sum is σ = 178976640. Its totient is φ = 14622720.

The previous prime is 55352389. The next prime is 55352413. The reversal of 55352400 is 425355.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 231481 + ... + 231719.

It is an arithmetic number, because the mean of its divisors is an integer number (1491472).

Almost surely, 2^55352400 is an apocalyptic number.

55352400 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 55352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89488320).

55352400 is an abundant number, since it is smaller than the sum of its proper divisors (123624240).

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

55352400 is a wasteful number, since it uses less digits than its factorization.

55352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 55352400 is about 7439.9193544016. The cubic root of 55352400 is about 381.1057359758.

Adding to 55352400 its reverse (425355), we get a palindrome (55777755).

The spelling of 55352400 in words is "fifty-five million, three hundred fifty-two thousand, four hundred".