413013735 has 48 divisors (see below), whose sum is σ = 781522560. Its totient is φ = 208668960.

The previous prime is 413013719. The next prime is 413013743. The reversal of 413013735 is 537310314.

It is not a de Polignac number, because 413013735 - 2⁴ = 413013719 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 413013699 and 413013708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14140 + ... + 32030.

It is an arithmetic number, because the mean of its divisors is an integer number (16281720).

Almost surely, 2^413013735 is an apocalyptic number.

413013735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413013735 is a deficient number, since it is larger than the sum of its proper divisors (368508825).

413013735 is a wasteful number, since it uses less digits than its factorization.

413013735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17930 (or 17918 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 413013735 is about 20322.7393576752. The cubic root of 413013735 is about 744.7116791922.

The spelling of 413013735 in words is "four hundred thirteen million, thirteen thousand, seven hundred thirty-five".