414448157 has 2 divisors, whose sum is σ = 414448158. Its totient is φ = 414448156.

The previous prime is 414448127. The next prime is 414448171. The reversal of 414448157 is 751844414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413146276 + 1301881 = 20326^2 + 1141^2 .

It is a cyclic number.

It is not a de Polignac number, because 414448157 - 2¹⁶ = 414382621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414448157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414448127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207224078 + 207224079.

It is an arithmetic number, because the mean of its divisors is an integer number (207224079).

Almost surely, 2^414448157 is an apocalyptic number.

It is an amenable number.

414448157 is a deficient number, since it is larger than the sum of its proper divisors (1).

414448157 is an equidigital number, since it uses as much as digits as its factorization.

414448157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 71680, while the sum is 38.

The square root of 414448157 is about 20357.9998280774. Note that the first 3 decimals coincide. The cubic root of 414448157 is about 745.5728261142.

The spelling of 414448157 in words is "four hundred fourteen million, four hundred forty-eight thousand, one hundred fifty-seven".