514382401 has 8 divisors (see below), whose sum is σ = 554345064. Its totient is φ = 474476160.

The previous prime is 514382389. The next prime is 514382423. The reversal of 514382401 is 104283415.

It is a Cunningham number, because it is equal to 22680²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 514382400 = 1^2 + 22680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 514382401 - 2⁵ = 514382369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 514382401.

It is not an unprimeable number, because it can be changed into a prime (514382201) 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, 5895 + ... + 32611.

It is an arithmetic number, because the mean of its divisors is an integer number (69293133).

Almost surely, 2^514382401 is an apocalyptic number.

It is an amenable number.

514382401 is a deficient number, since it is larger than the sum of its proper divisors (39962663).

514382401 is a wasteful number, since it uses less digits than its factorization.

514382401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28211.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 514382401 is about 22680.0000220459. Note that the first 4 decimals coincide. The cubic root of 514382401 is about 801.2389142282.

The spelling of 514382401 in words is "five hundred fourteen million, three hundred eighty-two thousand, four hundred one".