9282349440 has 512 divisors, whose sum is σ = 40468377600. Its totient is φ = 1958141952.

The previous prime is 9282349423. The next prime is 9282349567. The reversal of 9282349440 is 449432829.

It is a happy number.

9282349440 is a `hidden beast` number, since 92 + 82 + 3 + 49 + 440 = 666.

It is a super-2 number, since 2×9282349440² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1569529 + ... + 1575431.

It is an arithmetic number, because the mean of its divisors is an integer number (79039800).

Almost surely, 2^9282349440 is an apocalyptic number.

9282349440 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 9282349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234188800).

9282349440 is an abundant number, since it is smaller than the sum of its proper divisors (31186028160).

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

9282349440 is a wasteful number, since it uses less digits than its factorization.

9282349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9282349440 is about 96344.9502568765. The cubic root of 9282349440 is about 2101.6124758363.

The spelling of 9282349440 in words is "nine billion, two hundred eighty-two million, three hundred forty-nine thousand, four hundred forty".