55434900 has 72 divisors (see below), whose sum is σ = 161239680. Its totient is φ = 14704640.

The previous prime is 55434871. The next prime is 55434937. The reversal of 55434900 is 943455.

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

It is a congruent number.

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, 76741 + ... + 77459.

It is an arithmetic number, because the mean of its divisors is an integer number (2239440).

Almost surely, 2^55434900 is an apocalyptic number.

55434900 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 55434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619840).

55434900 is an abundant number, since it is smaller than the sum of its proper divisors (105804780).

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

55434900 is a wasteful number, since it uses less digits than its factorization.

55434900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55434900 is about 7445.4617049583. The cubic root of 55434900 is about 381.2949817033.

The spelling of 55434900 in words is "fifty-five million, four hundred thirty-four thousand, nine hundred".