413783040 has 352 divisors, whose sum is σ = 1509212160. Its totient is φ = 95846400.

The previous prime is 413783039. The next prime is 413783047. The reversal of 413783040 is 40387314.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413782989 and 413783007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413783047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5237721 + ... + 5237799.

Almost surely, 2^413783040 is an apocalyptic number.

413783040 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 413783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754606080).

413783040 is an abundant number, since it is smaller than the sum of its proper divisors (1095429120).

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

413783040 is a wasteful number, since it uses less digits than its factorization.

413783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 413783040 is about 20341.6577495542. The cubic root of 413783040 is about 745.1737744565.

The spelling of 413783040 in words is "four hundred thirteen million, seven hundred eighty-three thousand, forty".