413397747 has 24 divisors (see below), whose sum is σ = 689201760. Its totient is φ = 233884800.

The previous prime is 413397727. The next prime is 413397749. The reversal of 413397747 is 747793314.

It is not a de Polignac number, because 413397747 - 2¹⁴ = 413381363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413397749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26122 + ... + 38847.

It is an arithmetic number, because the mean of its divisors is an integer number (28716740).

Almost surely, 2^413397747 is an apocalyptic number.

413397747 is a deficient number, since it is larger than the sum of its proper divisors (275804013).

413397747 is a wasteful number, since it uses less digits than its factorization.

413397747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65083 (or 65080 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 413397747 is about 20332.1850030930. The cubic root of 413397747 is about 744.9424137583.

The spelling of 413397747 in words is "four hundred thirteen million, three hundred ninety-seven thousand, seven hundred forty-seven".