55413200 has 120 divisors (see below), whose sum is σ = 146341080. Its totient is φ = 20070400.

The previous prime is 55413199. The next prime is 55413223. The reversal of 55413200 is 231455.

It can be written as a sum of positive squares in 12 ways, for example, as 4376464 + 51036736 = 2092^2 + 7144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197060 + ... + 197340.

It is an arithmetic number, because the mean of its divisors is an integer number (1219509).

Almost surely, 2^55413200 is an apocalyptic number.

55413200 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 55413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73170540).

55413200 is an abundant number, since it is smaller than the sum of its proper divisors (90927880).

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

55413200 is a wasteful number, since it uses less digits than its factorization.

55413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 55413200 is about 7444.0042987629. The cubic root of 55413200 is about 381.2452225505.

Adding to 55413200 its reverse (231455), we get a palindrome (55644655).

The spelling of 55413200 in words is "fifty-five million, four hundred thirteen thousand, two hundred".