398349952 has 128 divisors (see below), whose sum is σ = 1065859200. Its totient is φ = 143216640.

The previous prime is 398349923. The next prime is 398349989. The reversal of 398349952 is 259943893.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 398349952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126574 + ... + 129682.

It is an arithmetic number, because the mean of its divisors is an integer number (8327025).

Almost surely, 2^398349952 is an apocalyptic number.

398349952 is a gapful number since it is divisible by the number (32) 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 398349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532929600).

398349952 is an abundant number, since it is smaller than the sum of its proper divisors (667509248).

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

398349952 is a wasteful number, since it uses less digits than its factorization.

398349952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3142 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 52.

The square root of 398349952 is about 19958.7061704911. The cubic root of 398349952 is about 735.7917652868.

It can be divided in two parts, 3983 and 49952, that added together give a palindrome (53935).

The spelling of 398349952 in words is "three hundred ninety-eight million, three hundred forty-nine thousand, nine hundred fifty-two".