413516440 has 64 divisors (see below), whose sum is σ = 986492160. Its totient is φ = 155727360.

The previous prime is 413516419. The next prime is 413516443. The reversal of 413516440 is 44615314.

It is a junction number, because it is equal to n+sod(n) for n = 413516399 and 413516408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413516443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41374 + ... + 50386.

It is an arithmetic number, because the mean of its divisors is an integer number (15413940).

Almost surely, 2^413516440 is an apocalyptic number.

413516440 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 413516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493246080).

413516440 is an abundant number, since it is smaller than the sum of its proper divisors (572975720).

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

413516440 is a wasteful number, since it uses less digits than its factorization.

413516440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 413516440 is about 20335.1036387819. The cubic root of 413516440 is about 745.0137018335.

The spelling of 413516440 in words is "four hundred thirteen million, five hundred sixteen thousand, four hundred forty".