414820801 has 24 divisors (see below), whose sum is σ = 455412672. Its totient is φ = 376833600.

The previous prime is 414820781. The next prime is 414820817. The reversal of 414820801 is 108028414.

It is not a de Polignac number, because 414820801 - 2²³ = 406432193 is a prime.

It is a super-3 number, since 3×414820801³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414820801.

It is not an unprimeable number, because it can be changed into a prime (414820831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3166506 + ... + 3166636.

It is an arithmetic number, because the mean of its divisors is an integer number (18975528).

Almost surely, 2^414820801 is an apocalyptic number.

It is an amenable number.

414820801 is a deficient number, since it is larger than the sum of its proper divisors (40591871).

414820801 is a wasteful number, since it uses less digits than its factorization.

414820801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 414820801 is about 20367.1500460914. The cubic root of 414820801 is about 745.7962155437.

The spelling of 414820801 in words is "four hundred fourteen million, eight hundred twenty thousand, eight hundred one".