408782798280 has 512 divisors, whose sum is σ = 1501046784000. Its totient is φ = 98559866880.

The previous prime is 408782798267. The next prime is 408782798293. The reversal of 408782798280 is 82897287804.

408782798280 is a `hidden beast` number, since 4 + 0 + 87 + 8 + 279 + 8 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (408782798267) and next prime (408782798293).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46432359 + ... + 46441161.

It is an arithmetic number, because the mean of its divisors is an integer number (2931732000).

Almost surely, 2^408782798280 is an apocalyptic number.

408782798280 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 408782798280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750523392000).

408782798280 is an abundant number, since it is smaller than the sum of its proper divisors (1092263985720).

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

408782798280 is a wasteful number, since it uses less digits than its factorization.

408782798280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 408782798280 in words is "four hundred eight billion, seven hundred eighty-two million, seven hundred ninety-eight thousand, two hundred eighty".