413760 has 56 divisors (see below), whose sum is σ = 1316736. Its totient is φ = 110080.

The previous prime is 413759. The next prime is 413779. The reversal of 413760 is 67314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745 + ... + 1175.

2⁴¹³⁷⁶⁰ is an apocalyptic number.

413760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658368).

413760 is an abundant number, since it is smaller than the sum of its proper divisors (902976).

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

413760 is a wasteful number, since it uses less digits than its factorization.

413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 413760 is about 643.2417896872. The cubic root of 413760 is about 74.5159943438.

The spelling of 413760 in words is "four hundred thirteen thousand, seven hundred sixty".