8404294920 has 256 divisors, whose sum is σ = 29528064000. Its totient is φ = 1874036736.

The previous prime is 8404294903. The next prime is 8404294933. The reversal of 8404294920 is 294924048.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5905329 + ... + 5906751.

It is an arithmetic number, because the mean of its divisors is an integer number (115344000).

Almost surely, 2^8404294920 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 8404294920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764032000).

8404294920 is an abundant number, since it is smaller than the sum of its proper divisors (21123769080).

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

8404294920 is a wasteful number, since it uses less digits than its factorization.

8404294920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 8404294920 is about 91674.9416143801. The cubic root of 8404294920 is about 2033.1391102370.

The spelling of 8404294920 in words is "eight billion, four hundred four million, two hundred ninety-four thousand, nine hundred twenty".