9284806440 has 448 divisors, whose sum is σ = 38561040000. Its totient is φ = 1958432256.

The previous prime is 9284806423. The next prime is 9284806483. The reversal of 9284806440 is 446084829.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2651811 + ... + 2655309.

It is an arithmetic number, because the mean of its divisors is an integer number (86073750).

Almost surely, 2^9284806440 is an apocalyptic number.

9284806440 is a gapful number since it is divisible by the number (90) 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 9284806440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280520000).

9284806440 is an abundant number, since it is smaller than the sum of its proper divisors (29276233560).

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

9284806440 is a wasteful number, since it uses less digits than its factorization.

9284806440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 9284806440 is about 96357.7004706941. The cubic root of 9284806440 is about 2101.7978888919.

The spelling of 9284806440 in words is "nine billion, two hundred eighty-four million, eight hundred six thousand, four hundred forty".