412394976 has 360 divisors, whose sum is σ = 1501670016. Its totient is φ = 110315520.

The previous prime is 412394971. The next prime is 412394987. The reversal of 412394976 is 679493214.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412394971) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2159041 + ... + 2159231.

Almost surely, 2^412394976 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 412394976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750835008).

412394976 is an abundant number, since it is smaller than the sum of its proper divisors (1089275040).

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

412394976 is a wasteful number, since it uses less digits than its factorization.

412394976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 412394976 is about 20307.5103348490. The cubic root of 412394976 is about 744.3395952299.

It can be divided in two parts, 4123 and 94976, that added together give a palindrome (99099).

The spelling of 412394976 in words is "four hundred twelve million, three hundred ninety-four thousand, nine hundred seventy-six".