413780 has 24 divisors (see below), whose sum is σ = 920808. Its totient is φ = 155648.

The previous prime is 413779. The next prime is 413783. The reversal of 413780 is 87314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 355216 = 242^2 + 596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2⁴¹³⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

413780 is an abundant number, since it is smaller than the sum of its proper divisors (507028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413780 is a wasteful number, since it uses less digits than its factorization.

413780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 413780 is about 643.2573357530. The cubic root of 413780 is about 74.5171949560.

The spelling of 413780 in words is "four hundred thirteen thousand, seven hundred eighty".