412104960 has 216 divisors, whose sum is σ = 1446367104. Its totient is φ = 108318720.

The previous prime is 412104943. The next prime is 412104983. The reversal of 412104960 is 69401214.

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, 955945 + ... + 956375.

It is an arithmetic number, because the mean of its divisors is an integer number (6696144).

Almost surely, 2^412104960 is an apocalyptic number.

412104960 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 412104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723183552).

412104960 is an abundant number, since it is smaller than the sum of its proper divisors (1034262144).

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

412104960 is a wasteful number, since it uses less digits than its factorization.

412104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 412104960 is about 20300.3684695623. The cubic root of 412104960 is about 744.1650691664.

The spelling of 412104960 in words is "four hundred twelve million, one hundred four thousand, nine hundred sixty".