412542768 has 80 divisors (see below), whose sum is σ = 1175817600. Its totient is φ = 123594240.

The previous prime is 412542749. The next prime is 412542799. The reversal of 412542768 is 867245214.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42603 + ... + 51381.

It is an arithmetic number, because the mean of its divisors is an integer number (14697720).

Almost surely, 2^412542768 is an apocalyptic number.

412542768 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 412542768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587908800).

412542768 is an abundant number, since it is smaller than the sum of its proper divisors (763274832).

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

412542768 is a wasteful number, since it uses less digits than its factorization.

412542768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8884 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 412542768 is about 20311.1488596780. The cubic root of 412542768 is about 744.4285021478.

The spelling of 412542768 in words is "four hundred twelve million, five hundred forty-two thousand, seven hundred sixty-eight".