55200460 has 144 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 17297280.

The previous prime is 55200449. The next prime is 55200463. The reversal of 55200460 is 6400255.

It is not an unprimeable number, because it can be changed into a prime (55200463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698701 + ... + 698779.

It is an arithmetic number, because the mean of its divisors is an integer number (1021440).

Almost surely, 2^55200460 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 55200460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

55200460 is an abundant number, since it is smaller than the sum of its proper divisors (91886900).

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

55200460 is a wasteful number, since it uses less digits than its factorization.

55200460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 55200460 is about 7429.7012052976. The cubic root of 55200460 is about 380.7567100443.

The spelling of 55200460 in words is "fifty-five million, two hundred thousand, four hundred sixty".