859412400 has 480 divisors, whose sum is σ = 3507204096. Its totient is φ = 174720000.

The previous prime is 859412399. The next prime is 859412401. The reversal of 859412400 is 4214958.

It is an interprime number because it is at equal distance from previous prime (859412399) and next prime (859412401).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (859412401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6560335 + ... + 6560465.

Almost surely, 2^859412400 is an apocalyptic number.

859412400 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 859412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753602048).

859412400 is an abundant number, since it is smaller than the sum of its proper divisors (2647791696).

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

859412400 is a wasteful number, since it uses less digits than its factorization.

859412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 859412400 is about 29315.7363884996. The cubic root of 859412400 is about 950.7519070312.

The spelling of 859412400 in words is "eight hundred fifty-nine million, four hundred twelve thousand, four hundred".