413413040 has 80 divisors (see below), whose sum is σ = 1015435008. Its totient is φ = 156211968.

The previous prime is 413413037. The next prime is 413413061. The reversal of 413413040 is 40314314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 151367 + ... + 154073.

Almost surely, 2^413413040 is an apocalyptic number.

413413040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507717504).

413413040 is an abundant number, since it is smaller than the sum of its proper divisors (602021968).

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

413413040 is a wasteful number, since it uses less digits than its factorization.

413413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413413040 is about 20332.5610782311. The cubic root of 413413040 is about 744.9515996363.

Adding to 413413040 its reverse (40314314), we get a palindrome (453727354).

The spelling of 413413040 in words is "four hundred thirteen million, four hundred thirteen thousand, forty".