411505920 has 486 divisors, whose sum is σ = 1719832842. Its totient is φ = 94058496.

The previous prime is 411505907. The next prime is 411505951. The reversal of 411505920 is 29505114.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 82301184 = 18144^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 58786557 + ... + 58786563.

Almost surely, 2^411505920 is an apocalyptic number.

411505920 is a gapful number since it is divisible by the number (40) 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 411505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859916421).

411505920 is an abundant number, since it is smaller than the sum of its proper divisors (1308326922).

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

411505920 is an frugal number, since it uses more digits than its factorization.

411505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 411505920 is about 20285.6086918781. The cubic root of 411505920 is about 743.8043189855.

The spelling of 411505920 in words is "four hundred eleven million, five hundred five thousand, nine hundred twenty".