413718048 has 72 divisors (see below), whose sum is σ = 1179360000. Its totient is φ = 137572224.

The previous prime is 413718047. The next prime is 413718049. The reversal of 413718048 is 840817314.

It is an interprime number because it is at equal distance from previous prime (413718047) and next prime (413718049).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×413718048³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (413718047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 136453 + ... + 139451.

It is an arithmetic number, because the mean of its divisors is an integer number (16380000).

Almost surely, 2^413718048 is an apocalyptic number.

413718048 is a gapful number since it is divisible by the number (48) 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 413718048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680000).

413718048 is an abundant number, since it is smaller than the sum of its proper divisors (765641952).

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

413718048 is a wasteful number, since it uses less digits than its factorization.

413718048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 413718048 is about 20340.0601769021. The cubic root of 413718048 is about 745.1347581403.

The spelling of 413718048 in words is "four hundred thirteen million, seven hundred eighteen thousand, forty-eight".