55456000 has 72 divisors (see below), whose sum is σ = 138227544. Its totient is φ = 22169600.

The previous prime is 55455997. The next prime is 55456001. The reversal of 55456000 is 65455.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 52301824 = 1776^2 + 7232^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55456001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31134 + ... + 32866.

It is an arithmetic number, because the mean of its divisors is an integer number (1919827).

Almost surely, 2^55456000 is an apocalyptic number.

55456000 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 55456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69113772).

55456000 is an abundant number, since it is smaller than the sum of its proper divisors (82771544).

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

55456000 is an equidigital number, since it uses as much as digits as its factorization.

55456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 55456000 is about 7446.8785407042. The cubic root of 55456000 is about 381.3433525766.

The spelling of 55456000 in words is "fifty-five million, four hundred fifty-six thousand".