8285414400 has 264 divisors, whose sum is σ = 30428900640. Its totient is φ = 2209259520.

The previous prime is 8285414359. The next prime is 8285414419. The reversal of 8285414400 is 44145828.

It is a super-3 number, since 3×8285414400³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685207 + ... + 697193.

Almost surely, 2^8285414400 is an apocalyptic number.

8285414400 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 8285414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214450320).

8285414400 is an abundant number, since it is smaller than the sum of its proper divisors (22143486240).

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

8285414400 is a wasteful number, since it uses less digits than its factorization.

8285414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12026 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8285414400 is about 91024.2517134857. The cubic root of 8285414400 is about 2023.5071576254.

The spelling of 8285414400 in words is "eight billion, two hundred eighty-five million, four hundred fourteen thousand, four hundred".