408545088 has 112 divisors (see below), whose sum is σ = 1308104064. Its totient is φ = 109854720.

The previous prime is 408545077. The next prime is 408545089. The reversal of 408545088 is 880545804.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408545089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13908 + ... + 31788.

Almost surely, 2^408545088 is an apocalyptic number.

408545088 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 408545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654052032).

408545088 is an abundant number, since it is smaller than the sum of its proper divisors (899558976).

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

408545088 is a wasteful number, since it uses less digits than its factorization.

408545088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17920 (or 17910 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 408545088 is about 20212.4983116882. The cubic root of 408545088 is about 742.0161043480.

The spelling of 408545088 in words is "four hundred eight million, five hundred forty-five thousand, eighty-eight".