420752 has 10 divisors (see below), whose sum is σ = 815238. Its totient is φ = 210368.

The previous prime is 420743. The next prime is 420757. The reversal of 420752 is 257024.

It can be written as a sum of positive squares in only one way, i.e., 355216 + 65536 = 596^2 + 256^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420752.

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

420752 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 as a sum of consecutive naturals, namely, 13133 + ... + 13164.

2⁴²⁰⁷⁵² is an apocalyptic number.

It is an amenable number.

420752 is a deficient number, since it is larger than the sum of its proper divisors (394486).

420752 is a wasteful number, since it uses less digits than its factorization.

420752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26305 (or 26299 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 420752 is about 648.6539909690. The cubic root of 420752 is about 74.9333927156.

Adding to 420752 its reverse (257024), we get a palindrome (677776).

The spelling of 420752 in words is "four hundred twenty thousand, seven hundred fifty-two".