412083504 has 320 divisors, whose sum is σ = 1447526400. Its totient is φ = 109734912.

The previous prime is 412083499. The next prime is 412083509. The reversal of 412083504 is 405380214.

It is an interprime number because it is at equal distance from previous prime (412083499) and next prime (412083509).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412083509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3244689 + ... + 3244815.

It is an arithmetic number, because the mean of its divisors is an integer number (4523520).

Almost surely, 2^412083504 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 412083504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723763200).

412083504 is an abundant number, since it is smaller than the sum of its proper divisors (1035442896).

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

412083504 is a wasteful number, since it uses less digits than its factorization.

412083504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 412083504 is about 20299.8399993695. The cubic root of 412083504 is about 744.1521541048.

The spelling of 412083504 in words is "four hundred twelve million, eighty-three thousand, five hundred four".