413768 has 8 divisors (see below), whose sum is σ = 775830. Its totient is φ = 206880.

The previous prime is 413759. The next prime is 413779. The reversal of 413768 is 867314.

It can be written as a sum of positive squares in only one way, i.e., 407044 + 6724 = 638^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 413768.

It is an unprimeable number.

413768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25853 + ... + 25868.

2⁴¹³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

413768 is a deficient number, since it is larger than the sum of its proper divisors (362062).

413768 is a wasteful number, since it uses less digits than its factorization.

413768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51727 (or 51723 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 413768 is about 643.2480081586. The cubic root of 413768 is about 74.5164745933.

The spelling of 413768 in words is "four hundred thirteen thousand, seven hundred sixty-eight".