408849360 has 80 divisors (see below), whose sum is σ = 1269454464. Its totient is φ = 108852736.

The previous prime is 408849349. The next prime is 408849361. The reversal of 408849360 is 63948804.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408849361) 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, 235054 + ... + 236786.

Almost surely, 2^408849360 is an apocalyptic number.

408849360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408849360 is an abundant number, since it is smaller than the sum of its proper divisors (860605104).

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

408849360 is a wasteful number, since it uses less digits than its factorization.

408849360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 408849360 is about 20220.0237388585. The cubic root of 408849360 is about 742.2002690043.

The spelling of 408849360 in words is "four hundred eight million, eight hundred forty-nine thousand, three hundred sixty".