842967400 has 96 divisors (see below), whose sum is σ = 2158656480. Its totient is φ = 303584000.

The previous prime is 842967379. The next prime is 842967467. The reversal of 842967400 is 4769248.

842967400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233610 + ... + 237190.

It is an arithmetic number, because the mean of its divisors is an integer number (22486005).

Almost surely, 2^842967400 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 842967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079328240).

842967400 is an abundant number, since it is smaller than the sum of its proper divisors (1315689080).

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

842967400 is a wasteful number, since it uses less digits than its factorization.

842967400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 842967400 is about 29033.9008746672. The cubic root of 842967400 is about 944.6485446887.

The spelling of 842967400 in words is "eight hundred forty-two million, nine hundred sixty-seven thousand, four hundred".