411252828 has 96 divisors (see below), whose sum is σ = 1149388800. Its totient is φ = 111960576.

The previous prime is 411252827. The next prime is 411252839. The reversal of 411252828 is 828252114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411252823) 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, 191376 + ... + 193512.

It is an arithmetic number, because the mean of its divisors is an integer number (11972800).

Almost surely, 2^411252828 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 411252828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574694400).

411252828 is an abundant number, since it is smaller than the sum of its proper divisors (738135972).

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

411252828 is a wasteful number, since it uses less digits than its factorization.

411252828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2257 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 411252828 is about 20279.3695168267. The cubic root of 411252828 is about 743.6517982718.

The spelling of 411252828 in words is "four hundred eleven million, two hundred fifty-two thousand, eight hundred twenty-eight".