398561280 has 208 divisors, whose sum is σ = 1376088000. Its totient is φ = 97910784.

The previous prime is 398561279. The next prime is 398561323. The reversal of 398561280 is 82165893.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798471 + ... + 798969.

Almost surely, 2^398561280 is an apocalyptic number.

398561280 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 398561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688044000).

398561280 is an abundant number, since it is smaller than the sum of its proper divisors (977526720).

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

398561280 is a wasteful number, since it uses less digits than its factorization.

398561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 398561280 is about 19963.9995992787. Note that the first 3 decimals coincide. The cubic root of 398561280 is about 735.9218568580.

The spelling of 398561280 in words is "three hundred ninety-eight million, five hundred sixty-one thousand, two hundred eighty".