411201792 has 144 divisors (see below), whose sum is σ = 1246512960. Its totient is φ = 133632000.

The previous prime is 411201779. The next prime is 411201803. The reversal of 411201792 is 297102114.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×411201792² = 338173827488022528, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282667 + ... + 284117.

It is an arithmetic number, because the mean of its divisors is an integer number (8656340).

Almost surely, 2^411201792 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 411201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623256480).

411201792 is an abundant number, since it is smaller than the sum of its proper divisors (835311168).

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

411201792 is a wasteful number, since it uses less digits than its factorization.

411201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 411201792 is about 20278.1111546416. Note that the first 4 decimals coincide. The cubic root of 411201792 is about 743.6210348901.

The spelling of 411201792 in words is "four hundred eleven million, two hundred one thousand, seven hundred ninety-two".