402768 has 30 divisors (see below), whose sum is σ = 1127594. Its totient is φ = 134208.

The previous prime is 402767. The next prime is 402769. The reversal of 402768 is 867204.

It is an interprime number because it is at equal distance from previous prime (402767) and next prime (402769).

It can be written as a sum of positive squares in only one way, i.e., 374544 + 28224 = 612^2 + 168^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402768.

It is not an unprimeable number, because it can be changed into a prime (402761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1255 + ... + 1542.

2⁴⁰²⁷⁶⁸ is an apocalyptic number.

402768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

402768 is an abundant number, since it is smaller than the sum of its proper divisors (724826).

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

402768 is a wasteful number, since it uses less digits than its factorization.

402768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 402768 is about 634.6400554645. The cubic root of 402768 is about 73.8501960928.

It can be divided in two parts, 4027 and 68, that added together give a triangular number (4095 = T₉₀).

The spelling of 402768 in words is "four hundred two thousand, seven hundred sixty-eight".