9042480 has 120 divisors (see below), whose sum is σ = 32014320. Its totient is φ = 2280960.

The previous prime is 9042443. The next prime is 9042491. The reversal of 9042480 is 842409.

9042480 = 516² + 517² + ... + 547².

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 13350 + ... + 14010.

It is an arithmetic number, because the mean of its divisors is an integer number (266786).

Almost surely, 2^9042480 is an apocalyptic number.

9042480 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 9042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007160).

9042480 is an abundant number, since it is smaller than the sum of its proper divisors (22971840).

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

9042480 is a wasteful number, since it uses less digits than its factorization.

9042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9042480 is about 3007.0716652584. The cubic root of 9042480 is about 208.3351352733.

Adding to 9042480 its reverse (842409), we get a palindrome (9884889).

The spelling of 9042480 in words is "nine million, forty-two thousand, four hundred eighty".