5446861200 has 1200 divisors, whose sum is σ = 24112028160. Its totient is φ = 1161216000.

The previous prime is 5446861187. The next prime is 5446861223. The reversal of 5446861200 is 21686445.

5446861200 is a `hidden beast` number, since 5 + 446 + 8 + 6 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 175705185 + ... + 175705215.

Almost surely, 2^5446861200 is an apocalyptic number.

5446861200 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 5446861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056014080).

5446861200 is an abundant number, since it is smaller than the sum of its proper divisors (18665166960).

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

5446861200 is a wasteful number, since it uses less digits than its factorization.

5446861200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5446861200 is about 73802.8536033669. The cubic root of 5446861200 is about 1759.4709584146.

The spelling of 5446861200 in words is "five billion, four hundred forty-six million, eight hundred sixty-one thousand, two hundred".