863814420 has 144 divisors (see below), whose sum is σ = 3028596480. Its totient is φ = 195199488.

The previous prime is 863814407. The next prime is 863814439. The reversal of 863814420 is 24418368.

863814420 is a `hidden beast` number, since 8 + 638 + 14 + 4 + 2 + 0 = 666.

863814420 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 (36).

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, 108289 + ... + 115991.

It is an arithmetic number, because the mean of its divisors is an integer number (21031920).

Almost surely, 2^863814420 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 863814420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514298240).

863814420 is an abundant number, since it is smaller than the sum of its proper divisors (2164782060).

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

863814420 is a wasteful number, since it uses less digits than its factorization.

863814420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 863814420 is about 29390.7199639614. The cubic root of 863814420 is about 952.3724341944.

The spelling of 863814420 in words is "eight hundred sixty-three million, eight hundred fourteen thousand, four hundred twenty".