405702 has 32 divisors (see below), whose sum is σ = 984960. Its totient is φ = 122760.

The previous prime is 405701. The next prime is 405703. The reversal of 405702 is 207504.

It is a happy number.

405702 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (405701) and next prime (405703).

It is a super-2 number, since 2×405702² = 329188225608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 405702.

It is not an unprimeable number, because it can be changed into a prime (405701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁴⁰⁵⁷⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

405702 is an abundant number, since it is smaller than the sum of its proper divisors (579258).

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

405702 is a wasteful number, since it uses less digits than its factorization.

405702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 405702 is about 636.9474075620. The cubic root of 405702 is about 74.0290852310.

The spelling of 405702 in words is "four hundred five thousand, seven hundred two".