410247072 has 96 divisors (see below), whose sum is σ = 1200326400. Its totient is φ = 136318464.

The previous prime is 410247059. The next prime is 410247073. The reversal of 410247072 is 270742014.

It is a happy number.

410247072 is a `hidden beast` number, since 410 + 247 + 0 + 7 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (410247073) 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, 394329 + ... + 395367.

It is an arithmetic number, because the mean of its divisors is an integer number (12503400).

Almost surely, 2^410247072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410247072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600163200).

410247072 is an abundant number, since it is smaller than the sum of its proper divisors (790079328).

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

410247072 is a wasteful number, since it uses less digits than its factorization.

410247072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 410247072 is about 20254.5568206268. The cubic root of 410247072 is about 743.0450808231.

Adding to 410247072 its reverse (270742014), we get a palindrome (680989086).

The spelling of 410247072 in words is "four hundred ten million, two hundred forty-seven thousand, seventy-two".