413408142 has 72 divisors (see below), whose sum is σ = 1087531536. Its totient is φ = 111158784.

The previous prime is 413408131. The next prime is 413408147. The reversal of 413408142 is 241804314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413408147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30738 + ... + 42090.

Almost surely, 2^413408142 is an apocalyptic number.

413408142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413408142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543765768).

413408142 is an abundant number, since it is smaller than the sum of its proper divisors (674123394).

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

413408142 is a wasteful number, since it uses less digits than its factorization.

413408142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 413408142 is about 20332.4406306769. The cubic root of 413408142 is about 744.9486576332.

The spelling of 413408142 in words is "four hundred thirteen million, four hundred eight thousand, one hundred forty-two".