411509772 has 18 divisors (see below), whose sum is σ = 1040205348. Its totient is φ = 137169912.

The previous prime is 411509677. The next prime is 411509773. The reversal of 411509772 is 277905114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11430827 = 411509772 / (4 + 1 + 1 + 5 + 0 + 9 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (411509773) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5715378 + ... + 5715449.

It is an arithmetic number, because the mean of its divisors is an integer number (57789186).

Almost surely, 2^411509772 is an apocalyptic number.

It is an amenable number.

411509772 is an abundant number, since it is smaller than the sum of its proper divisors (628695576).

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

411509772 is a wasteful number, since it uses less digits than its factorization.

411509772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430837 (or 11430832 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 411509772 is about 20285.7036358121. The cubic root of 411509772 is about 743.8066398312.

The spelling of 411509772 in words is "four hundred eleven million, five hundred nine thousand, seven hundred seventy-two".