9242449920 has 480 divisors, whose sum is σ = 36175098960. Its totient is φ = 2238382080.

The previous prime is 9242449913. The next prime is 9242449939. The reversal of 9242449920 is 299442429.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123334 + ... + 9124346.

Almost surely, 2^9242449920 is an apocalyptic number.

9242449920 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 9242449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087549480).

9242449920 is an abundant number, since it is smaller than the sum of its proper divisors (26932649040).

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

9242449920 is a wasteful number, since it uses less digits than its factorization.

9242449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9242449920 is about 96137.6612987855. The cubic root of 9242449920 is about 2098.5969403425.

The spelling of 9242449920 in words is "nine billion, two hundred forty-two million, four hundred forty-nine thousand, nine hundred twenty".