413001509 has 8 divisors (see below), whose sum is σ = 416016000. Its totient is φ = 409995232.

The previous prime is 413001497. The next prime is 413001571. The reversal of 413001509 is 905100314.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413001509 - 2²⁴ = 396224293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413001709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127097 + ... + 130305.

It is an arithmetic number, because the mean of its divisors is an integer number (52002000).

Almost surely, 2^413001509 is an apocalyptic number.

It is an amenable number.

413001509 is a deficient number, since it is larger than the sum of its proper divisors (3014491).

413001509 is a wasteful number, since it uses less digits than its factorization.

413001509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 413001509 is about 20322.4385593855. The cubic root of 413001509 is about 744.7043308209.

The spelling of 413001509 in words is "four hundred thirteen million, one thousand, five hundred nine".