413148416 has 36 divisors (see below), whose sum is σ = 873202932. Its totient is φ = 194420736.

The previous prime is 413148403. The next prime is 413148457. The reversal of 413148416 is 614841314.

It can be written as a sum of positive squares in 2 ways, for example, as 313148416 + 100000000 = 17696^2 + 10000^2 .

It is a super-2 number, since 2×413148416² = 341383227286618112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43115 + ... + 51818.

It is an arithmetic number, because the mean of its divisors is an integer number (24255637).

Almost surely, 2^413148416 is an apocalyptic number.

It is an amenable number.

413148416 is an abundant number, since it is smaller than the sum of its proper divisors (460054516).

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

413148416 is an equidigital number, since it uses as much as digits as its factorization.

413148416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94966 (or 94952 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 413148416 is about 20326.0526418683. The cubic root of 413148416 is about 744.7926188841.

The spelling of 413148416 in words is "four hundred thirteen million, one hundred forty-eight thousand, four hundred sixteen".