407252 has 24 divisors (see below), whose sum is σ = 775656. Its totient is φ = 186368.

The previous prime is 407249. The next prime is 407257. The reversal of 407252 is 252704.

It can be written as a sum of positive squares in 4 ways, for example, as 42436 + 364816 = 206^2 + 604^2 .

It is a super-3 number, since 3×407252³ = 202633353595161024, which contains 333 as substring.

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 407252.

It is not an unprimeable number, because it can be changed into a prime (407257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3548 + ... + 3660.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2⁴⁰⁷²⁵² is an apocalyptic number.

It is an amenable number.

407252 is a deficient number, since it is larger than the sum of its proper divisors (368404).

407252 is a wasteful number, since it uses less digits than its factorization.

407252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

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

The square root of 407252 is about 638.1629885852. The cubic root of 407252 is about 74.1232424056.

Adding to 407252 its reverse (252704), we get a palindrome (659956).

The spelling of 407252 in words is "four hundred seven thousand, two hundred fifty-two".