412267968 has 252 divisors, whose sum is σ = 1428167832. Its totient is φ = 117573120.

The previous prime is 412267963. The next prime is 412267981. The reversal of 412267968 is 869762214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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 (412267963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761778 + ... + 762318.

Almost surely, 2^412267968 is an apocalyptic number.

412267968 is a gapful number since it is divisible by the number (48) 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 412267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714083916).

412267968 is an abundant number, since it is smaller than the sum of its proper divisors (1015899864).

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

412267968 is an equidigital number, since it uses as much as digits as its factorization.

412267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 553 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 412267968 is about 20304.3829751116. The cubic root of 412267968 is about 744.2631743264.

It can be divided in two parts, 41226 and 7968, that added together give a palindrome (49194).

The spelling of 412267968 in words is "four hundred twelve million, two hundred sixty-seven thousand, nine hundred sixty-eight".