411949824 has 288 divisors, whose sum is σ = 1340602368. Its totient is φ = 111513600.

The previous prime is 411949819. The next prime is 411949861. The reversal of 411949824 is 428949114.

It is a happy number.

Its product of digits (82944) is a multiple of the sum of its prime factors (96).

It is a congruent number.

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, 13288689 + ... + 13288719.

Almost surely, 2^411949824 is an apocalyptic number.

411949824 is a gapful number since it is divisible by the number (44) 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 411949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670301184).

411949824 is an abundant number, since it is smaller than the sum of its proper divisors (928652544).

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

411949824 is a wasteful number, since it uses less digits than its factorization.

411949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 411949824 is about 20296.5470955037. The cubic root of 411949824 is about 744.0716776821.

The spelling of 411949824 in words is "four hundred eleven million, nine hundred forty-nine thousand, eight hundred twenty-four".