411634272 has 96 divisors (see below), whose sum is σ = 1261274112. Its totient is φ = 115098624.

The previous prime is 411634261. The next prime is 411634273. The reversal of 411634272 is 272436114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411634273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25068 + ... + 38100.

It is an arithmetic number, because the mean of its divisors is an integer number (13138272).

Almost surely, 2^411634272 is an apocalyptic number.

411634272 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 411634272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630637056).

411634272 is an abundant number, since it is smaller than the sum of its proper divisors (849639840).

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

411634272 is a wasteful number, since it uses less digits than its factorization.

411634272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 13092 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 411634272 is about 20288.7720673283. The cubic root of 411634272 is about 743.8816437927.

The spelling of 411634272 in words is "four hundred eleven million, six hundred thirty-four thousand, two hundred seventy-two".