408798570240 has 864 divisors, whose sum is σ = 1596789282816. Its totient is φ = 96001720320.

The previous prime is 408798570233. The next prime is 408798570241. The reversal of 408798570240 is 42075897804.

It is a happy number.

408798570240 is a `hidden beast` number, since 40 + 8 + 7 + 9 + 8 + 570 + 24 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408798570241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211702075 + ... + 211704005.

It is an arithmetic number, because the mean of its divisors is an integer number (1848135744).

Almost surely, 2^408798570240 is an apocalyptic number.

408798570240 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 408798570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798394641408).

408798570240 is an abundant number, since it is smaller than the sum of its proper divisors (1187990712576).

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

408798570240 is a wasteful number, since it uses less digits than its factorization.

408798570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 408798570240 in words is "four hundred eight billion, seven hundred ninety-eight million, five hundred seventy thousand, two hundred forty".