826044480 has 196 divisors, whose sum is σ = 2950011372. Its totient is φ = 220216320.

The previous prime is 826044431. The next prime is 826044487. The reversal of 826044480 is 84440628.

826044480 is a `hidden beast` number, since 8 + 2 + 604 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 321413184 + 504631296 = 17928^2 + 22464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (826044487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 231510 + ... + 235050.

Almost surely, 2^826044480 is an apocalyptic number.

826044480 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 826044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475005686).

826044480 is an abundant number, since it is smaller than the sum of its proper divisors (2123966892).

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

826044480 is an equidigital number, since it uses as much as digits as its factorization.

826044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 826044480 is about 28740.9895445512. The cubic root of 826044480 is about 938.2843611797.

The spelling of 826044480 in words is "eight hundred twenty-six million, forty-four thousand, four hundred eighty".