840413070 has 224 divisors, whose sum is σ = 2659295232. Its totient is φ = 187137216.

The previous prime is 840413047. The next prime is 840413089. The reversal of 840413070 is 70314048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2194099 + ... + 2194481.

Almost surely, 2^840413070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840413070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329647616).

840413070 is an abundant number, since it is smaller than the sum of its proper divisors (1818882162).

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

840413070 is a wasteful number, since it uses less digits than its factorization.

840413070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 840413070 is about 28989.8787510400. The cubic root of 840413070 is about 943.6934324529.

The spelling of 840413070 in words is "eight hundred forty million, four hundred thirteen thousand, seventy".