412661340 has 432 divisors, whose sum is σ = 1620833760. Its totient is φ = 84188160.

The previous prime is 412661321. The next prime is 412661369. The reversal of 412661340 is 43166214.

412661340 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 613 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6764910 + ... + 6764970.

It is an arithmetic number, because the mean of its divisors is an integer number (3751930).

Almost surely, 2^412661340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412661340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810416880).

412661340 is an abundant number, since it is smaller than the sum of its proper divisors (1208172420).

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

412661340 is a wasteful number, since it uses less digits than its factorization.

412661340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412661340 is about 20314.0675395156. The cubic root of 412661340 is about 744.4998159023.

The spelling of 412661340 in words is "four hundred twelve million, six hundred sixty-one thousand, three hundred forty".