413487360 has 432 divisors, whose sum is σ = 1687428288. Its totient is φ = 92160000.

The previous prime is 413487301. The next prime is 413487383. The reversal of 413487360 is 63784314.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1647235 + ... + 1647485.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^413487360 is an apocalyptic number.

413487360 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 413487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

413487360 is an abundant number, since it is smaller than the sum of its proper divisors (1273940928).

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

413487360 is a wasteful number, since it uses less digits than its factorization.

413487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 413487360 is about 20334.3886064961. The cubic root of 413487360 is about 744.9962373877.

The spelling of 413487360 in words is "four hundred thirteen million, four hundred eighty-seven thousand, three hundred sixty".