408350880 has 288 divisors, whose sum is σ = 1686956544. Its totient is φ = 87810048.

The previous prime is 408350867. The next prime is 408350881. The reversal of 408350880 is 88053804.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408350881) 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, 170169 + ... + 172551.

It is an arithmetic number, because the mean of its divisors is an integer number (5857488).

Almost surely, 2^408350880 is an apocalyptic number.

408350880 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 408350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843478272).

408350880 is an abundant number, since it is smaller than the sum of its proper divisors (1278605664).

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

408350880 is a wasteful number, since it uses less digits than its factorization.

408350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 408350880 is about 20207.6935843752. The cubic root of 408350880 is about 741.8985095723.

The spelling of 408350880 in words is "four hundred eight million, three hundred fifty thousand, eight hundred eighty".