398964096 has 128 divisors (see below), whose sum is σ = 1195766400. Its totient is φ = 130927104.

The previous prime is 398964073. The next prime is 398964101. The reversal of 398964096 is 690469893.

It is a happy number.

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 (54).

It is a congruent number.

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, 230691 + ... + 232413.

It is an arithmetic number, because the mean of its divisors is an integer number (9341925).

Almost surely, 2^398964096 is an apocalyptic number.

398964096 is a gapful number since it is divisible by the number (36) 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 398964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597883200).

398964096 is an abundant number, since it is smaller than the sum of its proper divisors (796802304).

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

398964096 is a wasteful number, since it uses less digits than its factorization.

398964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 398964096 is about 19974.0856111112. The cubic root of 398964096 is about 736.1696993698.

The spelling of 398964096 in words is "three hundred ninety-eight million, nine hundred sixty-four thousand, ninety-six".