298401408 has 160 divisors (see below), whose sum is σ = 940830660. Its totient is φ = 93560832.

The previous prime is 298401371. The next prime is 298401419. The reversal of 298401408 is 804104892.

It can be written as a sum of positive squares in 2 ways, for example, as 296115264 + 2286144 = 17208^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175410 + ... + 177102.

Almost surely, 2^298401408 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 298401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470415330).

298401408 is an abundant number, since it is smaller than the sum of its proper divisors (642429252).

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

298401408 is a wasteful number, since it uses less digits than its factorization.

298401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 298401408 is about 17274.2990595856. The cubic root of 298401408 is about 668.2417760592.

The spelling of 298401408 in words is "two hundred ninety-eight million, four hundred one thousand, four hundred eight".