402006768 has 40 divisors (see below), whose sum is σ = 1045506000. Its totient is φ = 133100544.

The previous prime is 402006751. The next prime is 402006779. The reversal of 402006768 is 867600204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20953 + ... + 35256.

It is an arithmetic number, because the mean of its divisors is an integer number (26137650).

Almost surely, 2^402006768 is an apocalyptic number.

402006768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

402006768 is an abundant number, since it is smaller than the sum of its proper divisors (643499232).

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

402006768 is a wasteful number, since it uses less digits than its factorization.

402006768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56369 (or 56363 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 402006768 is about 20050.1064336327. The cubic root of 402006768 is about 738.0364109796.

The spelling of 402006768 in words is "four hundred two million, six thousand, seven hundred sixty-eight".