827448480 has 384 divisors, whose sum is σ = 3233260800. Its totient is φ = 196411392.

The previous prime is 827448467. The next prime is 827448491. The reversal of 827448480 is 84844728.

It is a happy number.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395064 + ... + 1395656.

It is an arithmetic number, because the mean of its divisors is an integer number (8419950).

Almost surely, 2^827448480 is an apocalyptic number.

827448480 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 827448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616630400).

827448480 is an abundant number, since it is smaller than the sum of its proper divisors (2405812320).

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

827448480 is a wasteful number, since it uses less digits than its factorization.

827448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 827448480 is about 28765.4042210430. The cubic root of 827448480 is about 938.8156504046.

The spelling of 827448480 in words is "eight hundred twenty-seven million, four hundred forty-eight thousand, four hundred eighty".