408474784368 has 240 divisors, whose sum is σ = 1354615441920. Its totient is φ = 112424772096.

The previous prime is 408474784351. The next prime is 408474784387. The reversal of 408474784368 is 863487474804.

408474784368 is a `hidden beast` number, since 40 + 84 + 7 + 478 + 43 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12934005 + ... + 12965547.

It is an arithmetic number, because the mean of its divisors is an integer number (5644231008).

Almost surely, 2^408474784368 is an apocalyptic number.

408474784368 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 408474784368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677307720960).

408474784368 is an abundant number, since it is smaller than the sum of its proper divisors (946140657552).

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

408474784368 is a wasteful number, since it uses less digits than its factorization.

408474784368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32036 (or 32027 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 408474784368 in words is "four hundred eight billion, four hundred seventy-four million, seven hundred eighty-four thousand, three hundred sixty-eight".