821364480 has 432 divisors, whose sum is σ = 3053441664. Its totient is φ = 203489280.

The previous prime is 821364473. The next prime is 821364487. The reversal of 821364480 is 84463128.

821364480 is a `hidden beast` number, since 8 + 2 + 1 + 3 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (821364473) and next prime (821364487).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821364487) 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 47 ways as a sum of consecutive naturals, for example, 17475817 + ... + 17475863.

It is an arithmetic number, because the mean of its divisors is an integer number (7068152).

Almost surely, 2^821364480 is an apocalyptic number.

821364480 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 821364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526720832).

821364480 is an abundant number, since it is smaller than the sum of its proper divisors (2232077184).

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

821364480 is a wasteful number, since it uses less digits than its factorization.

821364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 821364480 is about 28659.4570779001. The cubic root of 821364480 is about 936.5090371612.

The spelling of 821364480 in words is "eight hundred twenty-one million, three hundred sixty-four thousand, four hundred eighty".