407501 has 2 divisors, whose sum is σ = 407502. Its totient is φ = 407500.

The previous prime is 407489. The next prime is 407503. The reversal of 407501 is 105704.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 15625 = 626^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 407501 - 2⁶ = 407437 is a prime.

Together with 407503, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 407501.

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 407501.

It is not a weakly prime, because it can be changed into another prime (407503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203750 + 203751.

It is an arithmetic number, because the mean of its divisors is an integer number (203751).

2⁴⁰⁷⁵⁰¹ is an apocalyptic number.

It is an amenable number.

407501 is a deficient number, since it is larger than the sum of its proper divisors (1).

407501 is an equidigital number, since it uses as much as digits as its factorization.

407501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 407501 is about 638.3580500002. The cubic root of 407501 is about 74.1383460163.

The spelling of 407501 in words is "four hundred seven thousand, five hundred one".