410398272 has 112 divisors (see below), whose sum is σ = 1211478400. Its totient is φ = 136235520.

The previous prime is 410398267. The next prime is 410398283. The reversal of 410398272 is 272893014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758322 + ... + 758862.

Almost surely, 2^410398272 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 410398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605739200).

410398272 is an abundant number, since it is smaller than the sum of its proper divisors (801080128).

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

410398272 is a wasteful number, since it uses less digits than its factorization.

410398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 410398272 is about 20258.2889701969. The cubic root of 410398272 is about 743.1363547768.

The spelling of 410398272 in words is "four hundred ten million, three hundred ninety-eight thousand, two hundred seventy-two".