402733540 has 48 divisors (see below), whose sum is σ = 926876160. Its totient is φ = 145774080.

The previous prime is 402733537. The next prime is 402733543. The reversal of 402733540 is 45337204.

It is an interprime number because it is at equal distance from previous prime (402733537) and next prime (402733543).

It is a junction number, because it is equal to n+sod(n) for n = 402733499 and 402733508.

It is not an unprimeable number, because it can be changed into a prime (402733543) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44956 + ... + 53164.

It is an arithmetic number, because the mean of its divisors is an integer number (19309920).

Almost surely, 2^402733540 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 402733540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463438080).

402733540 is an abundant number, since it is smaller than the sum of its proper divisors (524142620).

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

402733540 is a wasteful number, since it uses less digits than its factorization.

402733540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 402733540 is about 20068.2221434785. Note that the first 3 decimals coincide. The cubic root of 402733540 is about 738.4808987590.

The spelling of 402733540 in words is "four hundred two million, seven hundred thirty-three thousand, five hundred forty".