413310480 has 160 divisors (see below), whose sum is σ = 1427908608. Its totient is φ = 98035200.

The previous prime is 413310479. The next prime is 413310493. The reversal of 413310480 is 84013314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413310480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122415 + ... + 125745.

Almost surely, 2^413310480 is an apocalyptic number.

413310480 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 413310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713954304).

413310480 is an abundant number, since it is smaller than the sum of its proper divisors (1014598128).

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

413310480 is a wasteful number, since it uses less digits than its factorization.

413310480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 413310480 is about 20330.0388587922. The cubic root of 413310480 is about 744.8899917143.

Adding to 413310480 its reverse (84013314), we get a palindrome (497323794).

The spelling of 413310480 in words is "four hundred thirteen million, three hundred ten thousand, four hundred eighty".