409003047 has 16 divisors (see below), whose sum is σ = 607878880. Its totient is φ = 271791936.

The previous prime is 409003039. The next prime is 409003061. The reversal of 409003047 is 740300904.

It is not a de Polignac number, because 409003047 - 2³ = 409003039 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409003047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409003247) 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, 15748 + ... + 32649.

It is an arithmetic number, because the mean of its divisors is an integer number (37992430).

Almost surely, 2^409003047 is an apocalyptic number.

409003047 is a deficient number, since it is larger than the sum of its proper divisors (198875833).

409003047 is a wasteful number, since it uses less digits than its factorization.

409003047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48719 (or 48713 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 409003047 is about 20223.8237482431. The cubic root of 409003047 is about 742.2932553658.

The spelling of 409003047 in words is "four hundred nine million, three thousand, forty-seven".