411593952 has 96 divisors (see below), whose sum is σ = 1347058944. Its totient is φ = 106905600.

The previous prime is 411593927. The next prime is 411593983. The reversal of 411593952 is 259395114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 411593952.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20449 + ... + 35232.

It is an arithmetic number, because the mean of its divisors is an integer number (14031864).

Almost surely, 2^411593952 is an apocalyptic number.

411593952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

411593952 is an abundant number, since it is smaller than the sum of its proper divisors (935464992).

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

411593952 is a wasteful number, since it uses less digits than its factorization.

411593952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55712 (or 55704 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 411593952 is about 20287.7783899568. The cubic root of 411593952 is about 743.8573550092.

The spelling of 411593952 in words is "four hundred eleven million, five hundred ninety-three thousand, nine hundred fifty-two".