411879552 has 128 divisors (see below), whose sum is σ = 1269565440. Its totient is φ = 115872768.

The previous prime is 411879541. The next prime is 411879583. The reversal of 411879552 is 255978114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 178953 + ... + 181239.

It is an arithmetic number, because the mean of its divisors is an integer number (9918480).

Almost surely, 2^411879552 is an apocalyptic number.

411879552 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 411879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634782720).

411879552 is an abundant number, since it is smaller than the sum of its proper divisors (857685888).

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

411879552 is a wasteful number, since it uses less digits than its factorization.

411879552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2366 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 411879552 is about 20294.8158897784. The cubic root of 411879552 is about 744.0293663978.

The spelling of 411879552 in words is "four hundred eleven million, eight hundred seventy-nine thousand, five hundred fifty-two".