411573120 has 256 divisors, whose sum is σ = 1518151680. Its totient is φ = 92897280.

The previous prime is 411573101. The next prime is 411573121. The reversal of 411573120 is 21375114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411573121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518585 + ... + 1518855.

It is an arithmetic number, because the mean of its divisors is an integer number (5930280).

Almost surely, 2^411573120 is an apocalyptic number.

411573120 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 411573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759075840).

411573120 is an abundant number, since it is smaller than the sum of its proper divisors (1106578560).

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

411573120 is a wasteful number, since it uses less digits than its factorization.

411573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 411573120 is about 20287.2649709122. The cubic root of 411573120 is about 743.8448051828.

The spelling of 411573120 in words is "four hundred eleven million, five hundred seventy-three thousand, one hundred twenty".