398768832 has 448 divisors, whose sum is σ = 1519610880. Its totient is φ = 100776960.

The previous prime is 398768831. The next prime is 398768833. The reversal of 398768832 is 238867893.

It is an interprime number because it is at equal distance from previous prime (398768831) and next prime (398768833).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398768831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10777518 + ... + 10777554.

Almost surely, 2^398768832 is an apocalyptic number.

398768832 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 398768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759805440).

398768832 is an abundant number, since it is smaller than the sum of its proper divisors (1120842048).

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

398768832 is an equidigital number, since it uses as much as digits as its factorization.

398768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 398768832 is about 19969.1970795022. The cubic root of 398768832 is about 736.0495792058.

The spelling of 398768832 in words is "three hundred ninety-eight million, seven hundred sixty-eight thousand, eight hundred thirty-two".