413965440 has 192 divisors, whose sum is σ = 1633844160. Its totient is φ = 94611456.

The previous prime is 413965439. The next prime is 413965493. The reversal of 413965440 is 44569314.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413965395 and 413965404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35187 + ... + 45453.

It is an arithmetic number, because the mean of its divisors is an integer number (8509605).

Almost surely, 2^413965440 is an apocalyptic number.

413965440 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 413965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816922080).

413965440 is an abundant number, since it is smaller than the sum of its proper divisors (1219878720).

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

413965440 is a wasteful number, since it uses less digits than its factorization.

413965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 413965440 is about 20346.1406659838. The cubic root of 413965440 is about 745.2832519013.

The spelling of 413965440 in words is "four hundred thirteen million, nine hundred sixty-five thousand, four hundred forty".