414400153 has 2 divisors, whose sum is σ = 414400154. Its totient is φ = 414400152.

The previous prime is 414400123. The next prime is 414400171. The reversal of 414400153 is 351004414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414203904 + 196249 = 20352^2 + 443^2 .

It is a cyclic number.

It is not a de Polignac number, because 414400153 - 2⁵ = 414400121 is a prime.

It is not a weakly prime, because it can be changed into another prime (414400123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207200076 + 207200077.

It is an arithmetic number, because the mean of its divisors is an integer number (207200077).

Almost surely, 2^414400153 is an apocalyptic number.

It is an amenable number.

414400153 is a deficient number, since it is larger than the sum of its proper divisors (1).

414400153 is an equidigital number, since it uses as much as digits as its factorization.

414400153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 414400153 is about 20356.8207979537. The cubic root of 414400153 is about 745.5440393534.

Adding to 414400153 its reverse (351004414), we get a palindrome (765404567).

The spelling of 414400153 in words is "four hundred fourteen million, four hundred thousand, one hundred fifty-three".