408772560 has 320 divisors, whose sum is σ = 1542758400. Its totient is φ = 87521280.

The previous prime is 408772549. The next prime is 408772571. The reversal of 408772560 is 65277804.

It is an interprime number because it is at equal distance from previous prime (408772549) and next prime (408772571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2743366 + ... + 2743514.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^408772560 is an apocalyptic number.

408772560 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 408772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

408772560 is an abundant number, since it is smaller than the sum of its proper divisors (1133985840).

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

408772560 is a wasteful number, since it uses less digits than its factorization.

408772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 408772560 is about 20218.1245421033. The cubic root of 408772560 is about 742.1537934107.

The spelling of 408772560 in words is "four hundred eight million, seven hundred seventy-two thousand, five hundred sixty".