411972 has 24 divisors (see below), whose sum is σ = 1048992. Its totient is φ = 124800.

The previous prime is 411967. The next prime is 411991. The reversal of 411972 is 279114.

It is an unprimeable number.

411972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (43708).

2⁴¹¹⁹⁷² is an apocalyptic number.

It is an amenable number.

411972 is an abundant number, since it is smaller than the sum of its proper divisors (637020).

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

411972 is a wasteful number, since it uses less digits than its factorization.

411972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3137 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 411972 is about 641.8504498713. The cubic root of 411972 is about 74.4085029015.

The spelling of 411972 in words is "four hundred eleven thousand, nine hundred seventy-two".