408945888 has 192 divisors, whose sum is σ = 1341204480. Its totient is φ = 120282624.

The previous prime is 408945883. The next prime is 408945913. The reversal of 408945888 is 888549804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408945881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257545 + ... + 259127.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^408945888 is an apocalyptic number.

408945888 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 408945888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

408945888 is an abundant number, since it is smaller than the sum of its proper divisors (932258592).

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

408945888 is a wasteful number, since it uses less digits than its factorization.

408945888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 408945888 is about 20222.4105388057. The cubic root of 408945888 is about 742.2586747621.

The spelling of 408945888 in words is "four hundred eight million, nine hundred forty-five thousand, eight hundred eighty-eight".