402768405 has 72 divisors (see below), whose sum is σ = 762574176. Its totient is φ = 196560000.

The previous prime is 402768383. The next prime is 402768409. The reversal of 402768405 is 504867204.

It is not a de Polignac number, because 402768405 - 2¹⁰ = 402767381 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 402768405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402768409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1604530 + ... + 1604780.

It is an arithmetic number, because the mean of its divisors is an integer number (10591308).

Almost surely, 2^402768405 is an apocalyptic number.

402768405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402768405 is a deficient number, since it is larger than the sum of its proper divisors (359805771).

402768405 is a wasteful number, since it uses less digits than its factorization.

402768405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 402768405 is about 20069.0907865802. The cubic root of 402768405 is about 738.5022084597.

The spelling of 402768405 in words is "four hundred two million, seven hundred sixty-eight thousand, four hundred five".