412412310 has 192 divisors, whose sum is σ = 1192568832. Its totient is φ = 102301056.

The previous prime is 412412293. The next prime is 412412321. The reversal of 412412310 is 13214214.

It is a super-2 number, since 2×412412310² = 340167826879072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2626752 + ... + 2626908.

It is an arithmetic number, because the mean of its divisors is an integer number (6211296).

Almost surely, 2^412412310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412412310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596284416).

412412310 is an abundant number, since it is smaller than the sum of its proper divisors (780156522).

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

412412310 is a wasteful number, since it uses less digits than its factorization.

412412310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412412310 is about 20307.9371182796. The cubic root of 412412310 is about 744.3500239068.

Adding to 412412310 its reverse (13214214), we get a palindrome (425626524).

The spelling of 412412310 in words is "four hundred twelve million, four hundred twelve thousand, three hundred ten".