298793664 has 224 divisors, whose sum is σ = 969507840. Its totient is φ = 89662464.

The previous prime is 298793657. The next prime is 298793681. The reversal of 298793664 is 466397892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 298793664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055667 + ... + 1055949.

It is an arithmetic number, because the mean of its divisors is an integer number (4328160).

Almost surely, 2^298793664 is an apocalyptic number.

298793664 is a gapful number since it is divisible by the number (24) 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 298793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484753920).

298793664 is an abundant number, since it is smaller than the sum of its proper divisors (670714176).

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

298793664 is a wasteful number, since it uses less digits than its factorization.

298793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 298793664 is about 17285.6490766184. The cubic root of 298793664 is about 668.5344546097.

The spelling of 298793664 in words is "two hundred ninety-eight million, seven hundred ninety-three thousand, six hundred sixty-four".