398776560 has 480 divisors, whose sum is σ = 1654894080. Its totient is φ = 77137920.

The previous prime is 398776549. The next prime is 398776561. The reversal of 398776560 is 65677893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398776561) 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, 12863745 + ... + 12863775.

It is an arithmetic number, because the mean of its divisors is an integer number (3447696).

Almost surely, 2^398776560 is an apocalyptic number.

398776560 is a gapful number since it is divisible by the number (30) 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 398776560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827447040).

398776560 is an abundant number, since it is smaller than the sum of its proper divisors (1256117520).

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

398776560 is a wasteful number, since it uses less digits than its factorization.

398776560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 398776560 is about 19969.3905765799. The cubic root of 398776560 is about 736.0543339693.

The spelling of 398776560 in words is "three hundred ninety-eight million, seven hundred seventy-six thousand, five hundred sixty".