398004264 has 144 divisors (see below), whose sum is σ = 1288228500. Its totient is φ = 110605824.

The previous prime is 398004251. The next prime is 398004281. The reversal of 398004264 is 462400893.

It is a happy number.

398004264 is a `hidden beast` number, since 398 + 0 + 0 + 4 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398002500 + 1764 = 19950^2 + 42^2 .

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 35 ways as a sum of consecutive naturals, for example, 129012 + ... + 132060.

Almost surely, 2^398004264 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 398004264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644114250).

398004264 is an abundant number, since it is smaller than the sum of its proper divisors (890224236).

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

398004264 is a wasteful number, since it uses less digits than its factorization.

398004264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 398004264 is about 19950.0442104773. The cubic root of 398004264 is about 735.5788637127.

The spelling of 398004264 in words is "three hundred ninety-eight million, four thousand, two hundred sixty-four".