408561408 has 360 divisors, whose sum is σ = 1380067920. Its totient is φ = 119439360.

The previous prime is 408561407. The next prime is 408561409. The reversal of 408561408 is 804165804.

It is an interprime number because it is at equal distance from previous prime (408561407) and next prime (408561409).

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 (408561403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6697698 + ... + 6697758.

It is an arithmetic number, because the mean of its divisors is an integer number (3833522).

Almost surely, 2^408561408 is an apocalyptic number.

408561408 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 408561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690033960).

408561408 is an abundant number, since it is smaller than the sum of its proper divisors (971506512).

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

408561408 is a wasteful number, since it uses less digits than its factorization.

408561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

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

The square root of 408561408 is about 20212.9020182655. The cubic root of 408561408 is about 742.0259845643.

The spelling of 408561408 in words is "four hundred eight million, five hundred sixty-one thousand, four hundred eight".