840185400 has 192 divisors, whose sum is σ = 2748038400. Its totient is φ = 211932160.

The previous prime is 840185393. The next prime is 840185447. The reversal of 840185400 is 4581048.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1476316 + ... + 1476884.

It is an arithmetic number, because the mean of its divisors is an integer number (14312700).

Almost surely, 2^840185400 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 840185400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374019200).

840185400 is an abundant number, since it is smaller than the sum of its proper divisors (1907853000).

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

840185400 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (840185399) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (718).

840185400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 840185400 is about 28985.9517697798. The cubic root of 840185400 is about 943.6082084539.

The spelling of 840185400 in words is "eight hundred forty million, one hundred eighty-five thousand, four hundred".