298149264 has 240 divisors, whose sum is σ = 1025077248. Its totient is φ = 78962688.

The previous prime is 298149251. The next prime is 298149277. The reversal of 298149264 is 462941892.

298149264 = 5² + 6² + ... + 963².

298149264 is a `hidden beast` number, since 29 + 81 + 492 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (298149251) and next prime (298149277).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176204 + ... + 2176340.

Almost surely, 2^298149264 is an apocalyptic number.

298149264 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 298149264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512538624).

298149264 is an abundant number, since it is smaller than the sum of its proper divisors (726927984).

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

298149264 is a wasteful number, since it uses less digits than its factorization.

298149264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 298149264 is about 17266.9992760757. Note that the first 3 decimals coincide. The cubic root of 298149264 is about 668.0535054612.

The spelling of 298149264 in words is "two hundred ninety-eight million, one hundred forty-nine thousand, two hundred sixty-four".