412583328 has 192 divisors, whose sum is σ = 1299715200. Its totient is φ = 126904320.

The previous prime is 412583293. The next prime is 412583329. The reversal of 412583328 is 823385214.

412583328 is a `hidden beast` number, since 41 + 2 + 583 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 412583292 and 412583301.

It is not an unprimeable number, because it can be changed into a prime (412583329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672750 + ... + 673362.

It is an arithmetic number, because the mean of its divisors is an integer number (6769350).

Almost surely, 2^412583328 is an apocalyptic number.

412583328 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 412583328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649857600).

412583328 is an abundant number, since it is smaller than the sum of its proper divisors (887131872).

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

412583328 is a wasteful number, since it uses less digits than its factorization.

412583328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 412583328 is about 20312.1473015533. The cubic root of 412583328 is about 744.4528980270.

It can be divided in two parts, 412 and 583328, that added together give a triangular number (583740 = T₁₀₈₀).

The spelling of 412583328 in words is "four hundred twelve million, five hundred eighty-three thousand, three hundred twenty-eight".