413663040 has 504 divisors, whose sum is σ = 1751697792. Its totient is φ = 87736320.

The previous prime is 413663017. The next prime is 413663051. The reversal of 413663040 is 40366314.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×413663040² = 342234221324083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413662995 and 413663013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5826205 + ... + 5826275.

Almost surely, 2^413663040 is an apocalyptic number.

413663040 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 413663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875848896).

413663040 is an abundant number, since it is smaller than the sum of its proper divisors (1338034752).

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

413663040 is a wasteful number, since it uses less digits than its factorization.

413663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 413663040 is about 20338.7079235629. The cubic root of 413663040 is about 745.1017322751.

It can be divided in two parts, 4136 and 63040, that added together give a palindrome (67176).

The spelling of 413663040 in words is "four hundred thirteen million, six hundred sixty-three thousand, forty".