55829400 has 144 divisors (see below), whose sum is σ = 190482600. Its totient is φ = 13516800.

The previous prime is 55829393. The next prime is 55829447. The reversal of 55829400 is 492855.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72216 + ... + 72984.

Almost surely, 2^55829400 is an apocalyptic number.

55829400 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 55829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95241300).

55829400 is an abundant number, since it is smaller than the sum of its proper divisors (134653200).

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

55829400 is a wasteful number, since it uses less digits than its factorization.

55829400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 55829400 is about 7471.9073870063. The cubic root of 55829400 is about 382.1973341516.

It can be divided in two parts, 5 and 5829400, that added together give a triangular number (5829405 = T₃₄₁₄).

The spelling of 55829400 in words is "fifty-five million, eight hundred twenty-nine thousand, four hundred".