861486400 has 84 divisors (see below), whose sum is σ = 2131649280. Its totient is φ = 342668800.

The previous prime is 861486397. The next prime is 861486401. The reversal of 861486400 is 4684168.

It is a self number, because there is not a number n which added to its sum of digits gives 861486400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861486401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304191 + ... + 307009.

Almost surely, 2^861486400 is an apocalyptic number.

861486400 is a gapful number since it is divisible by the number (80) 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 861486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065824640).

861486400 is an abundant number, since it is smaller than the sum of its proper divisors (1270162880).

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

861486400 is a wasteful number, since it uses less digits than its factorization.

861486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 861486400 is about 29351.0885658437. The cubic root of 861486400 is about 951.5161017935.

The spelling of 861486400 in words is "eight hundred sixty-one million, four hundred eighty-six thousand, four hundred".