412276320 has 144 divisors (see below), whose sum is σ = 1441413792. Its totient is φ = 107243520.

The previous prime is 412276313. The next prime is 412276343. The reversal of 412276320 is 23672214.

412276320 is a `hidden beast` number, since 4 + 1 + 2 + 27 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55549 + ... + 62531.

It is an arithmetic number, because the mean of its divisors is an integer number (10009818).

Almost surely, 2^412276320 is an apocalyptic number.

412276320 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 412276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720706896).

412276320 is an abundant number, since it is smaller than the sum of its proper divisors (1029137472).

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

412276320 is a wasteful number, since it uses less digits than its factorization.

412276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 412276320 is about 20304.5886439494. The cubic root of 412276320 is about 744.2682002194.

The spelling of 412276320 in words is "four hundred twelve million, two hundred seventy-six thousand, three hundred twenty".