412414920 has 96 divisors (see below), whose sum is σ = 1342855800. Its totient is φ = 109771776.

The previous prime is 412414901. The next prime is 412414921. The reversal of 412414920 is 29414214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 319908996 + 92505924 = 17886^2 + 9618^2 .

It is not an unprimeable number, because it can be changed into a prime (412414921) 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, 371326 + ... + 372434.

Almost surely, 2^412414920 is an apocalyptic number.

412414920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412414920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671427900).

412414920 is an abundant number, since it is smaller than the sum of its proper divisors (930440880).

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

412414920 is a wasteful number, since it uses less digits than its factorization.

412414920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 412414920 is about 20308.0013787669. The cubic root of 412414920 is about 744.3515941391.

It can be divided in two parts, 4124 and 14920, that added together give a square (19044 = 138²).

The spelling of 412414920 in words is "four hundred twelve million, four hundred fourteen thousand, nine hundred twenty".