413072142 has 32 divisors (see below), whose sum is σ = 961984512. Its totient is φ = 115793184.

The previous prime is 413072129. The next prime is 413072167. The reversal of 413072142 is 241270314.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90558 + ... + 95009.

It is an arithmetic number, because the mean of its divisors is an integer number (30062016).

Almost surely, 2^413072142 is an apocalyptic number.

413072142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413072142 is an abundant number, since it is smaller than the sum of its proper divisors (548912370).

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

413072142 is a wasteful number, since it uses less digits than its factorization.

413072142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185632.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 413072142 is about 20324.1762932720. The cubic root of 413072142 is about 744.7467824032.

The spelling of 413072142 in words is "four hundred thirteen million, seventy-two thousand, one hundred forty-two".