420756 has 24 divisors (see below), whose sum is σ = 1122240. Its totient is φ = 120192.

The previous prime is 420743. The next prime is 420757. The reversal of 420756 is 657024.

It is a happy number.

It is a super-2 number, since 2×420756² = 354071223072, which contains 22 as substring.

420756 is a modest number, since divided by 756 gives 420 as remainder.

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 420756.

It is not an unprimeable number, because it can be changed into a prime (420757) by changing a digit.

420756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2421 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (46760).

2⁴²⁰⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

420756 is an abundant number, since it is smaller than the sum of its proper divisors (701484).

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

420756 is a wasteful number, since it uses less digits than its factorization.

420756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 420756 is about 648.6570742696. The cubic root of 420756 is about 74.9336301735.

It can be divided in two parts, 420 and 756, that added together give a triangular number (1176 = T₄₈).

The spelling of 420756 in words is "four hundred twenty thousand, seven hundred fifty-six".