402786720 has 288 divisors, whose sum is σ = 1622799360. Its totient is φ = 89026560.

The previous prime is 402786707. The next prime is 402786733. The reversal of 402786720 is 27687204.

It is an interprime number because it is at equal distance from previous prime (402786707) and next prime (402786733).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 311836 + ... + 313124.

It is an arithmetic number, because the mean of its divisors is an integer number (5634720).

Almost surely, 2^402786720 is an apocalyptic number.

402786720 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 402786720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811399680).

402786720 is an abundant number, since it is smaller than the sum of its proper divisors (1220012640).

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

402786720 is a wasteful number, since it uses less digits than its factorization.

402786720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 402786720 is about 20069.5470800913. The cubic root of 402786720 is about 738.5134022068.

The spelling of 402786720 in words is "four hundred two million, seven hundred eighty-six thousand, seven hundred twenty".