55466400 has 216 divisors, whose sum is σ = 199487232. Its totient is φ = 13376000.

The previous prime is 55466381. The next prime is 55466401. The reversal of 55466400 is 466455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55466401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290305 + ... + 290495.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^55466400 is an apocalyptic number.

55466400 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 55466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

55466400 is an abundant number, since it is smaller than the sum of its proper divisors (144020832).

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

55466400 is a wasteful number, since it uses less digits than its factorization.

55466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 55466400 is about 7447.5767871167. The cubic root of 55466400 is about 381.3671896304.

Subtracting from 55466400 its reverse (466455), we obtain a palindrome (54999945).

The spelling of 55466400 in words is "fifty-five million, four hundred sixty-six thousand, four hundred".