413779488 has 24 divisors (see below), whose sum is σ = 1086171408. Its totient is φ = 137926464.

The previous prime is 413779417. The next prime is 413779489. The reversal of 413779488 is 884977314.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413779488.

It is not an unprimeable number, because it can be changed into a prime (413779489) 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 3 ways as a sum of consecutive naturals, for example, 2155006 + ... + 2155197.

It is an arithmetic number, because the mean of its divisors is an integer number (45257142).

Almost surely, 2^413779488 is an apocalyptic number.

413779488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413779488 is an abundant number, since it is smaller than the sum of its proper divisors (672391920).

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

413779488 is a wasteful number, since it uses less digits than its factorization.

413779488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310216 (or 4310208 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 413779488 is about 20341.5704408485. The cubic root of 413779488 is about 745.1716422080.

The spelling of 413779488 in words is "four hundred thirteen million, seven hundred seventy-nine thousand, four hundred eighty-eight".