398708480 has 144 divisors (see below), whose sum is σ = 1029145824. Its totient is φ = 147456000.

The previous prime is 398708461. The next prime is 398708503. The reversal of 398708480 is 84807893.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 1588355 + ... + 1588605.

It is an arithmetic number, because the mean of its divisors is an integer number (7146846).

Almost surely, 2^398708480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514572912).

398708480 is an abundant number, since it is smaller than the sum of its proper divisors (630437344).

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

398708480 is a wasteful number, since it uses less digits than its factorization.

398708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 398708480 is about 19967.6858949654. The cubic root of 398708480 is about 736.0124446541.

The spelling of 398708480 in words is "three hundred ninety-eight million, seven hundred eight thousand, four hundred eighty".