4492681200 has 840 divisors, whose sum is σ = 19360475136. Its totient is φ = 979776000.

The previous prime is 4492681177. The next prime is 4492681211. The reversal of 4492681200 is 21862944.

4492681200 is a `hidden beast` number, since 449 + 2 + 6 + 8 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 167 ways as a sum of consecutive naturals, for example, 63277165 + ... + 63277235.

Almost surely, 2^4492681200 is an apocalyptic number.

4492681200 is a gapful number since it is divisible by the number (40) 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 4492681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680237568).

4492681200 is an abundant number, since it is smaller than the sum of its proper divisors (14867793936).

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

4492681200 is a wasteful number, since it uses less digits than its factorization.

4492681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4492681200 is about 67027.4660120760. The cubic root of 4492681200 is about 1650.0680963631.

The spelling of 4492681200 in words is "four billion, four hundred ninety-two million, six hundred eighty-one thousand, two hundred".