55449216 has 96 divisors (see below), whose sum is σ = 161241600. Its totient is φ = 18289152.

The previous prime is 55449209. The next prime is 55449217. The reversal of 55449216 is 61294455.

55449216 is a `hidden beast` number, since 554 + 4 + 92 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55449217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146115 + ... + 146493.

It is an arithmetic number, because the mean of its divisors is an integer number (1679600).

Almost surely, 2^55449216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80620800).

55449216 is an abundant number, since it is smaller than the sum of its proper divisors (105792384).

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

55449216 is a wasteful number, since it uses less digits than its factorization.

55449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 511 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 55449216 is about 7446.4230339137. The cubic root of 55449216 is about 381.3278018769.

It can be divided in two parts, 554 and 49216, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 55449216 in words is "fifty-five million, four hundred forty-nine thousand, two hundred sixteen".