412421620 has 72 divisors (see below), whose sum is σ = 955830456. Its totient is φ = 148541952.

The previous prime is 412421617. The next prime is 412421641. The reversal of 412421620 is 26124214.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1710864 + 410710756 = 1308^2 + 20266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412421591 and 412421600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383854 + ... + 2384026.

It is an arithmetic number, because the mean of its divisors is an integer number (13275423).

Almost surely, 2^412421620 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 412421620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477915228).

412421620 is an abundant number, since it is smaller than the sum of its proper divisors (543408836).

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

412421620 is a wasteful number, since it uses less digits than its factorization.

412421620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 412421620 is about 20308.1663377076. The cubic root of 412421620 is about 744.3556249735.

Adding to 412421620 its reverse (26124214), we get a palindrome (438545834).

The spelling of 412421620 in words is "four hundred twelve million, four hundred twenty-one thousand, six hundred twenty".