412960064 has 56 divisors (see below), whose sum is σ = 896697216. Its totient is φ = 187136000.

The previous prime is 412959979. The next prime is 412960099. The reversal of 412960064 is 460069214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 412960064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302744 + ... + 304104.

Almost surely, 2^412960064 is an apocalyptic number.

412960064 is a gapful number since it is divisible by the number (44) 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 412960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448348608).

412960064 is an abundant number, since it is smaller than the sum of its proper divisors (483737152).

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

412960064 is a wasteful number, since it uses less digits than its factorization.

412960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 412960064 is about 20321.4188481021. The cubic root of 412960064 is about 744.6794194482.

The spelling of 412960064 in words is "four hundred twelve million, nine hundred sixty thousand, sixty-four".