933745480 has 96 divisors (see below), whose sum is σ = 2232233640. Its totient is φ = 351303680.

The previous prime is 933745459. The next prime is 933745487. The reversal of 933745480 is 84547339.

It can be written as a sum of positive squares in 12 ways, for example, as 154107396 + 779638084 = 12414^2 + 27922^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (933745487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378902 + ... + 1379578.

Almost surely, 2^933745480 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 933745480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116116820).

933745480 is an abundant number, since it is smaller than the sum of its proper divisors (1298488160).

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

933745480 is a wasteful number, since it uses less digits than its factorization.

933745480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 933745480 is about 30557.2492217477. The cubic root of 933745480 is about 977.4086334760.

The spelling of 933745480 in words is "nine hundred thirty-three million, seven hundred forty-five thousand, four hundred eighty".