412351320 has 128 divisors (see below), whose sum is σ = 1320675840. Its totient is φ = 102635520.

The previous prime is 412351279. The next prime is 412351321. The reversal of 412351320 is 23153214.

It is a super-2 number, since 2×412351320² = 340067222211484800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412351321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266469 + ... + 268011.

It is an arithmetic number, because the mean of its divisors is an integer number (10317780).

Almost surely, 2^412351320 is an apocalyptic number.

412351320 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 412351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660337920).

412351320 is an abundant number, since it is smaller than the sum of its proper divisors (908324520).

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

412351320 is a wasteful number, since it uses less digits than its factorization.

412351320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 412351320 is about 20306.4354331330. The cubic root of 412351320 is about 744.3133291194.

The spelling of 412351320 in words is "four hundred twelve million, three hundred fifty-one thousand, three hundred twenty".