55412400 has 120 divisors (see below), whose sum is σ = 180652624. Its totient is φ = 14515200.

The previous prime is 55412381. The next prime is 55412429. The reversal of 55412400 is 421455.

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

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, 72822 + ... + 73578.

Almost surely, 2^55412400 is an apocalyptic number.

55412400 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 55412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90326312).

55412400 is an abundant number, since it is smaller than the sum of its proper divisors (125240224).

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

55412400 is a wasteful number, since it uses less digits than its factorization.

55412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 55412400 is about 7443.9505640486. The cubic root of 55412400 is about 381.2433878635.

Adding to 55412400 its reverse (421455), we get a palindrome (55833855).

The spelling of 55412400 in words is "fifty-five million, four hundred twelve thousand, four hundred".