408794880 has 288 divisors, whose sum is σ = 1483453440. Its totient is φ = 95109120.

The previous prime is 408794857. The next prime is 408794917. The reversal of 408794880 is 88497804.

It is a super-2 number, since 2×408794880² = 334226507828428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 948265 + ... + 948695.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^408794880 is an apocalyptic number.

408794880 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 408794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741726720).

408794880 is an abundant number, since it is smaller than the sum of its proper divisors (1074658560).

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

408794880 is a wasteful number, since it uses less digits than its factorization.

408794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 408794880 is about 20218.6765145496. The cubic root of 408794880 is about 742.1673009801.

The spelling of 408794880 in words is "four hundred eight million, seven hundred ninety-four thousand, eight hundred eighty".