820974420 has 576 divisors, whose sum is σ = 3309465600. Its totient is φ = 167650560.

The previous prime is 820974419. The next prime is 820974431. The reversal of 820974420 is 24479028.

820974420 is a `hidden beast` number, since 8 + 209 + 7 + 442 + 0 = 666.

820974420 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11562985 + ... + 11563055.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^820974420 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 820974420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654732800).

820974420 is an abundant number, since it is smaller than the sum of its proper divisors (2488491180).

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

820974420 is a wasteful number, since it uses less digits than its factorization.

820974420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 820974420 is about 28652.6511862341. The cubic root of 820974420 is about 936.3607665845.

The spelling of 820974420 in words is "eight hundred twenty million, nine hundred seventy-four thousand, four hundred twenty".