398673792 has 128 divisors (see below), whose sum is σ = 1283731200. Its totient is φ = 120798720.

The previous prime is 398673773. The next prime is 398673841. The reversal of 398673792 is 297376893.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32773 + ... + 43259.

It is an arithmetic number, because the mean of its divisors is an integer number (10029150).

Almost surely, 2^398673792 is an apocalyptic number.

398673792 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 398673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641865600).

398673792 is an abundant number, since it is smaller than the sum of its proper divisors (885057408).

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

398673792 is a wasteful number, since it uses less digits than its factorization.

398673792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10503 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 398673792 is about 19966.8172726652. The cubic root of 398673792 is about 735.9910994513.

The spelling of 398673792 in words is "three hundred ninety-eight million, six hundred seventy-three thousand, seven hundred ninety-two".