408098880 has 336 divisors, whose sum is σ = 1658502144. Its totient is φ = 90132480.

The previous prime is 408098851. The next prime is 408098881. The reversal of 408098880 is 88890804.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (408098881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624634 + ... + 625286.

Almost surely, 2^408098880 is an apocalyptic number.

408098880 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 408098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829251072).

408098880 is an abundant number, since it is smaller than the sum of its proper divisors (1250403264).

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

408098880 is a wasteful number, since it uses less digits than its factorization.

408098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 408098880 is about 20201.4573731699. The cubic root of 408098880 is about 741.7458656044.

The spelling of 408098880 in words is "four hundred eight million, ninety-eight thousand, eight hundred eighty".