826495488 has 480 divisors, whose sum is σ = 3086219136. Its totient is φ = 214990848.

The previous prime is 826495487. The next prime is 826495489. The reversal of 826495488 is 884594628.

It is an interprime number because it is at equal distance from previous prime (826495487) and next prime (826495489).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (826495487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321820 + ... + 11321892.

Almost surely, 2^826495488 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 826495488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543109568).

826495488 is an abundant number, since it is smaller than the sum of its proper divisors (2259723648).

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

826495488 is an equidigital number, since it uses as much as digits as its factorization.

826495488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 826495488 is about 28748.8345502909. The cubic root of 826495488 is about 938.4550932130.

The spelling of 826495488 in words is "eight hundred twenty-six million, four hundred ninety-five thousand, four hundred eighty-eight".