409472082 has 48 divisors (see below), whose sum is σ = 927808128. Its totient is φ = 130268160.

The previous prime is 409472053. The next prime is 409472093. The reversal of 409472082 is 280274904.

409472082 is a `hidden beast` number, since 409 + 47 + 208 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264603 + ... + 266145.

It is an arithmetic number, because the mean of its divisors is an integer number (19329336).

Almost surely, 2^409472082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409472082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463904064).

409472082 is an abundant number, since it is smaller than the sum of its proper divisors (518336046).

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

409472082 is a wasteful number, since it uses less digits than its factorization.

409472082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 409472082 is about 20235.4165264765. The cubic root of 409472082 is about 742.5768950734.

It can be divided in two parts, 4094 and 72082, that added together give a square (76176 = 276²).

The spelling of 409472082 in words is "four hundred nine million, four hundred seventy-two thousand, eighty-two".