412298760 has 128 divisors (see below), whose sum is σ = 1287705600. Its totient is φ = 105492480.

The previous prime is 412298753. The next prime is 412298767. The reversal of 412298760 is 67892214.

It is an interprime number because it is at equal distance from previous prime (412298753) and next prime (412298767).

It is not an unprimeable number, because it can be changed into a prime (412298767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509236 + ... + 510044.

It is an arithmetic number, because the mean of its divisors is an integer number (10060200).

Almost surely, 2^412298760 is an apocalyptic number.

412298760 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 412298760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643852800).

412298760 is an abundant number, since it is smaller than the sum of its proper divisors (875406840).

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

412298760 is a wasteful number, since it uses less digits than its factorization.

412298760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 412298760 is about 20305.1412208830. The cubic root of 412298760 is about 744.2817033600.

The spelling of 412298760 in words is "four hundred twelve million, two hundred ninety-eight thousand, seven hundred sixty".