411720192 has 320 divisors, whose sum is σ = 1374912000. Its totient is φ = 120766464.

The previous prime is 411720187. The next prime is 411720223. The reversal of 411720192 is 291027114.

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 31 ways as a sum of consecutive naturals, for example, 5211609 + ... + 5211687.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^411720192 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 411720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

411720192 is an abundant number, since it is smaller than the sum of its proper divisors (963191808).

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

411720192 is a wasteful number, since it uses less digits than its factorization.

411720192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

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

The square root of 411720192 is about 20290.8893841547. The cubic root of 411720192 is about 743.9333967433.

The spelling of 411720192 in words is "four hundred eleven million, seven hundred twenty thousand, one hundred ninety-two".