840249900 has 216 divisors, whose sum is σ = 3084323424. Its totient is φ = 187315200.

The previous prime is 840249899. The next prime is 840249967. The reversal of 840249900 is 9942048.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256674 + ... + 259926.

Almost surely, 2^840249900 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 840249900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542161712).

840249900 is an abundant number, since it is smaller than the sum of its proper divisors (2244073524).

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

840249900 is a wasteful number, since it uses less digits than its factorization.

840249900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 840249900 is about 28987.0643563642. The cubic root of 840249900 is about 943.6323543833.

The spelling of 840249900 in words is "eight hundred forty million, two hundred forty-nine thousand, nine hundred".