413948480 has 112 divisors (see below), whose sum is σ = 1122297984. Its totient is φ = 143953920.

The previous prime is 413948467. The next prime is 413948519. The reversal of 413948480 is 84849314.

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 15 ways as a sum of consecutive naturals, for example, 78404 + ... + 83516.

Almost surely, 2^413948480 is an apocalyptic number.

413948480 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 413948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561148992).

413948480 is an abundant number, since it is smaller than the sum of its proper divisors (708349504).

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

413948480 is a wasteful number, since it uses less digits than its factorization.

413948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 413948480 is about 20345.7238750554. The cubic root of 413948480 is about 745.2730737758.

The spelling of 413948480 in words is "four hundred thirteen million, nine hundred forty-eight thousand, four hundred eighty".