409482540 has 60 divisors (see below), whose sum is σ = 1284566976. Its totient is φ = 109194912.

The previous prime is 409482529. The next prime is 409482571. The reversal of 409482540 is 45284904.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 409482495 and 409482504.

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, 124764 + ... + 128003.

Almost surely, 2^409482540 is an apocalyptic number.

It is an amenable number.

409482540 is an abundant number, since it is smaller than the sum of its proper divisors (875084436).

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

409482540 is a wasteful number, since it uses less digits than its factorization.

409482540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252788 (or 252777 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 409482540 is about 20235.6749331472. The cubic root of 409482540 is about 742.5832168744.

The spelling of 409482540 in words is "four hundred nine million, four hundred eighty-two thousand, five hundred forty".