409024728 has 80 divisors (see below), whose sum is σ = 1309326480. Its totient is φ = 116862912.

The previous prime is 409024699. The next prime is 409024771. The reversal of 409024728 is 827420904.

409024728 is a `hidden beast` number, since 409 + 0 + 247 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 409024692 and 409024701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40551 + ... + 49622.

It is an arithmetic number, because the mean of its divisors is an integer number (16366581).

Almost surely, 2^409024728 is an apocalyptic number.

It is an amenable number.

409024728 is an abundant number, since it is smaller than the sum of its proper divisors (900301752).

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

409024728 is a wasteful number, since it uses less digits than its factorization.

409024728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90198 (or 90185 counting only the distinct ones).

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

The square root of 409024728 is about 20224.3597673696. The cubic root of 409024728 is about 742.3063713037.

The spelling of 409024728 in words is "four hundred nine million, twenty-four thousand, seven hundred twenty-eight".