821230416 has 60 divisors (see below), whose sum is σ = 2319434260. Its totient is φ = 271226880.

The previous prime is 821230409. The next prime is 821230427. The reversal of 821230416 is 614032128.

821230416 is a `hidden beast` number, since 8 + 212 + 30 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 400160016 + 421070400 = 20004^2 + 20520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 821230416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10465 + ... + 41856.

Almost surely, 2^821230416 is an apocalyptic number.

It is an amenable number.

821230416 is an abundant number, since it is smaller than the sum of its proper divisors (1498203844).

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

821230416 is a wasteful number, since it uses less digits than its factorization.

821230416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52444 (or 52435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 821230416 is about 28657.1180686405. The cubic root of 821230416 is about 936.4580817157.

The spelling of 821230416 in words is "eight hundred twenty-one million, two hundred thirty thousand, four hundred sixteen".