413145520 has 40 divisors (see below), whose sum is σ = 983999520. Its totient is φ = 161226240.

The previous prime is 413145451. The next prime is 413145539. The reversal of 413145520 is 25541314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59700 + ... + 66259.

It is an arithmetic number, because the mean of its divisors is an integer number (24599988).

Almost surely, 2^413145520 is an apocalyptic number.

413145520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413145520 is an abundant number, since it is smaller than the sum of its proper divisors (570854000).

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

413145520 is a wasteful number, since it uses less digits than its factorization.

413145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126013 (or 126007 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 413145520 is about 20325.9814031205. The cubic root of 413145520 is about 744.7908786503.

Adding to 413145520 its reverse (25541314), we get a palindrome (438686834).

The spelling of 413145520 in words is "four hundred thirteen million, one hundred forty-five thousand, five hundred twenty".