402330040 has 64 divisors (see below), whose sum is σ = 1040117760. Its totient is φ = 137201280.

The previous prime is 402330037. The next prime is 402330043. The reversal of 402330040 is 40033204.

It is an interprime number because it is at equal distance from previous prime (402330037) and next prime (402330043).

It is a super-2 number, since 2×402330040² = 323738922172803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402329996 and 402330023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402330043) 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 15 ways as a sum of consecutive naturals, for example, 49719 + ... + 57241.

It is an arithmetic number, because the mean of its divisors is an integer number (16251840).

Almost surely, 2^402330040 is an apocalyptic number.

402330040 is a gapful number since it is divisible by the number (40) 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 402330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520058880).

402330040 is an abundant number, since it is smaller than the sum of its proper divisors (637787720).

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

402330040 is a wasteful number, since it uses less digits than its factorization.

402330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 402330040 is about 20058.1664166992. The cubic root of 402330040 is about 738.2341875690.

Adding to 402330040 its reverse (40033204), we get a palindrome (442363244).

The spelling of 402330040 in words is "four hundred two million, three hundred thirty thousand, forty".