398532960 has 480 divisors, whose sum is σ = 1686085632. Its totient is φ = 86676480.

The previous prime is 398532913. The next prime is 398532973. The reversal of 398532960 is 69235893.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086465 + ... + 2086655.

Almost surely, 2^398532960 is an apocalyptic number.

398532960 is a gapful number since it is divisible by the number (30) 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 398532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843042816).

398532960 is an abundant number, since it is smaller than the sum of its proper divisors (1287552672).

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

398532960 is a wasteful number, since it uses less digits than its factorization.

398532960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 398532960 is about 19963.2903099664. The cubic root of 398532960 is about 735.9044259955.

The spelling of 398532960 in words is "three hundred ninety-eight million, five hundred thirty-two thousand, nine hundred sixty".