413145480 has 64 divisors (see below), whose sum is σ = 1352116800. Its totient is φ = 100156160.

The previous prime is 413145451. The next prime is 413145539. The reversal of 413145480 is 84541314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155175 + ... + 157814.

It is an arithmetic number, because the mean of its divisors is an integer number (21126825).

Almost surely, 2^413145480 is an apocalyptic number.

413145480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413145480 is an abundant number, since it is smaller than the sum of its proper divisors (938971320).

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

413145480 is a wasteful number, since it uses less digits than its factorization.

413145480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313014 (or 313010 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 413145480 is about 20325.9804191581. The cubic root of 413145480 is about 744.7908546139.

Adding to 413145480 its reverse (84541314), we get a palindrome (497686794).

The spelling of 413145480 in words is "four hundred thirteen million, one hundred forty-five thousand, four hundred eighty".