398823264 has 288 divisors, whose sum is σ = 1426553856. Its totient is φ = 106997760.

The previous prime is 398823253. The next prime is 398823287. The reversal of 398823264 is 462328893.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×398823264² = 318119991815227392, which contains 22 as substring.

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, 925129 + ... + 925559.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2^398823264 is an apocalyptic number.

398823264 is a gapful number since it is divisible by the number (34) 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 398823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

398823264 is an abundant number, since it is smaller than the sum of its proper divisors (1027730592).

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

398823264 is a wasteful number, since it uses less digits than its factorization.

398823264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 398823264 is about 19970.5599320600. The cubic root of 398823264 is about 736.0830679715.

The spelling of 398823264 in words is "three hundred ninety-eight million, eight hundred twenty-three thousand, two hundred sixty-four".