411212592 has 320 divisors, whose sum is σ = 1507046400. Its totient is φ = 104509440.

The previous prime is 411212591. The next prime is 411212603. The reversal of 411212592 is 295212114.

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 (411212591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976542 + ... + 976962.

It is an arithmetic number, because the mean of its divisors is an integer number (4709520).

Almost surely, 2^411212592 is an apocalyptic number.

411212592 is a gapful number since it is divisible by the number (42) 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 411212592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753523200).

411212592 is an abundant number, since it is smaller than the sum of its proper divisors (1095833808).

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

411212592 is a wasteful number, since it uses less digits than its factorization.

411212592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 411212592 is about 20278.3774498849. The cubic root of 411212592 is about 743.6275451056.

The spelling of 411212592 in words is "four hundred eleven million, two hundred twelve thousand, five hundred ninety-two".