55949400 has 192 divisors, whose sum is σ = 207799200. Its totient is φ = 13754880.

The previous prime is 55949353. The next prime is 55949401. The reversal of 55949400 is 494955.

55949400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55949401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69802 + ... + 70598.

Almost surely, 2^55949400 is an apocalyptic number.

55949400 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 55949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103899600).

55949400 is an abundant number, since it is smaller than the sum of its proper divisors (151849800).

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

55949400 is a wasteful number, since it uses less digits than its factorization.

55949400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55949400 is about 7479.9331547815. The cubic root of 55949400 is about 382.4709704997.

The spelling of 55949400 in words is "fifty-five million, nine hundred forty-nine thousand, four hundred".