8282574400 has 84 divisors (see below), whose sum is σ = 20398841092. Its totient is φ = 3310018560.

The previous prime is 8282574383. The next prime is 8282574401. The reversal of 8282574400 is 44752828.

It can be written as a sum of positive squares in 6 ways, for example, as 632623104 + 7649951296 = 25152^2 + 87464^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8282574401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2803324 + ... + 2806276.

Almost surely, 2^8282574400 is an apocalyptic number.

8282574400 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 8282574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199420546).

8282574400 is an abundant number, since it is smaller than the sum of its proper divisors (12116266692).

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

8282574400 is a wasteful number, since it uses less digits than its factorization.

8282574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 8282574400 is about 91008.6501383248. The cubic root of 8282574400 is about 2023.2759313289.

The spelling of 8282574400 in words is "eight billion, two hundred eighty-two million, five hundred seventy-four thousand, four hundred".