55449984 has 64 divisors (see below), whose sum is σ = 148238640. Its totient is φ = 18364416.

The previous prime is 55449959. The next prime is 55450009. The reversal of 55449984 is 48994455.

55449984 = 332² + 333² + ... + 587².

It is an interprime number because it is at equal distance from previous prime (55449959) and next prime (55450009).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75282 + ... + 76014.

Almost surely, 2^55449984 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 55449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74119320).

55449984 is an abundant number, since it is smaller than the sum of its proper divisors (92788656).

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

55449984 is a wasteful number, since it uses less digits than its factorization.

55449984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 935 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 55449984 is about 7446.4746021188. The cubic root of 55449984 is about 381.3295623972.

The spelling of 55449984 in words is "fifty-five million, four hundred forty-nine thousand, nine hundred eighty-four".