821463552 has 320 divisors, whose sum is σ = 2997308160. Its totient is φ = 216317952.

The previous prime is 821463547. The next prime is 821463563. The reversal of 821463552 is 255364128.

821463552 is a `hidden beast` number, since 8 + 2 + 14 + 635 + 5 + 2 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1257658 + ... + 1258310.

It is an arithmetic number, because the mean of its divisors is an integer number (9366588).

Almost surely, 2^821463552 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 821463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498654080).

821463552 is an abundant number, since it is smaller than the sum of its proper divisors (2175844608).

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

821463552 is a wasteful number, since it uses less digits than its factorization.

821463552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 678 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 821463552 is about 28661.1854604795. The cubic root of 821463552 is about 936.5466891803.

The spelling of 821463552 in words is "eight hundred twenty-one million, four hundred sixty-three thousand, five hundred fifty-two".