398315280 has 240 divisors, whose sum is σ = 1400749632. Its totient is φ = 92851200.

The previous prime is 398315279. The next prime is 398315329. The reversal of 398315280 is 82513893.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536962 + ... + 2537118.

Almost surely, 2^398315280 is an apocalyptic number.

398315280 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 398315280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700374816).

398315280 is an abundant number, since it is smaller than the sum of its proper divisors (1002434352).

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

398315280 is a wasteful number, since it uses less digits than its factorization.

398315280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 398315280 is about 19957.8375582126. The cubic root of 398315280 is about 735.7704171295.

The spelling of 398315280 in words is "three hundred ninety-eight million, three hundred fifteen thousand, two hundred eighty".