412347479328 has 192 divisors, whose sum is σ = 1292917248000. Its totient is φ = 127444223232.

The previous prime is 412347479287. The next prime is 412347479329. The reversal of 412347479328 is 823974743214.

412347479328 is a `hidden beast` number, since 4 + 123 + 47 + 479 + 3 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (412347479329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504333 + ... + 1038771.

It is an arithmetic number, because the mean of its divisors is an integer number (6733944000).

Almost surely, 2^412347479328 is an apocalyptic number.

412347479328 is a gapful number since it is divisible by the number (48) 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 412347479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646458624000).

412347479328 is an abundant number, since it is smaller than the sum of its proper divisors (880569768672).

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

412347479328 is a wasteful number, since it uses less digits than its factorization.

412347479328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534524 (or 534510 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 412347479328 in words is "four hundred twelve billion, three hundred forty-seven million, four hundred seventy-nine thousand, three hundred twenty-eight".