Search a number
-
+
414435457 is a prime number
BaseRepresentation
bin11000101100111…
…100100010000001
31001212211111120101
4120230330202001
51322043413312
6105042442401
713161433432
oct3054744201
91055744511
10414435457
111a2a35547
12b6963401
1367b26ca7
143d081489
15265b5a57
hex18b3c881

414435457 has 2 divisors, whose sum is σ = 414435458. Its totient is φ = 414435456.

The previous prime is 414435431. The next prime is 414435481. The reversal of 414435457 is 754534414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 365421456 + 49014001 = 19116^2 + 7001^2 .

It is a cyclic number.

It is not a de Polignac number, because 414435457 - 215 = 414402689 is a prime.

It is not a weakly prime, because it can be changed into another prime (414435407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207217728 + 207217729.

It is an arithmetic number, because the mean of its divisors is an integer number (207217729).

Almost surely, 2414435457 is an apocalyptic number.

It is an amenable number.

414435457 is a deficient number, since it is larger than the sum of its proper divisors (1).

414435457 is an equidigital number, since it uses as much as digits as its factorization.

414435457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 134400, while the sum is 37.

The square root of 414435457 is about 20357.6879089940. The cubic root of 414435457 is about 745.5652104679.

It can be divided in two parts, 4144 and 35457, that added together give a square (39601 = 1992).

The spelling of 414435457 in words is "four hundred fourteen million, four hundred thirty-five thousand, four hundred fifty-seven".