415401420 has 144 divisors (see below), whose sum is σ = 1361132640. Its totient is φ = 94381056.

The previous prime is 415401419. The next prime is 415401431. The reversal of 415401420 is 24104514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672952 + ... + 673568.

It is an arithmetic number, because the mean of its divisors is an integer number (9452310).

Almost surely, 2^415401420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680566320).

415401420 is an abundant number, since it is smaller than the sum of its proper divisors (945731220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415401420 is a wasteful number, since it uses less digits than its factorization.

415401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 415401420 is about 20381.3988725014. The cubic root of 415401420 is about 746.1440135780.

Adding to 415401420 its reverse (24104514), we get a palindrome (439505934).

The spelling of 415401420 in words is "four hundred fifteen million, four hundred one thousand, four hundred twenty".