412511328 has 72 divisors (see below), whose sum is σ = 1187281368. Its totient is φ = 135839232.

The previous prime is 412511321. The next prime is 412511329. The reversal of 412511328 is 823115214.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412511321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15276 + ... + 32532.

It is an arithmetic number, because the mean of its divisors is an integer number (16490019).

Almost surely, 2^412511328 is an apocalyptic number.

412511328 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 412511328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593640684).

412511328 is an abundant number, since it is smaller than the sum of its proper divisors (774770040).

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

412511328 is a wasteful number, since it uses less digits than its factorization.

412511328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17356 (or 17345 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 412511328 is about 20310.3748857573. The cubic root of 412511328 is about 744.4095906324.

The spelling of 412511328 in words is "four hundred twelve million, five hundred eleven thousand, three hundred twenty-eight".