414901021 has 8 divisors (see below), whose sum is σ = 417888504. Its totient is φ = 411924480.

The previous prime is 414901009. The next prime is 414901049. The reversal of 414901021 is 120109414.

It can be written as a sum of positive squares in 4 ways, for example, as 51998521 + 362902500 = 7211^2 + 19050^2 .

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 414901021 - 2⁵ = 414900989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414900983 and 414901001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414901621) 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, 82635 + ... + 87511.

It is an arithmetic number, because the mean of its divisors is an integer number (52236063).

Almost surely, 2^414901021 is an apocalyptic number.

It is an amenable number.

414901021 is a deficient number, since it is larger than the sum of its proper divisors (2987483).

414901021 is a wasteful number, since it uses less digits than its factorization.

414901021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 414901021 is about 20369.1192985853. The cubic root of 414901021 is about 745.8442876398.

The spelling of 414901021 in words is "four hundred fourteen million, nine hundred one thousand, twenty-one".