398023528320 has 320 divisors, whose sum is σ = 1550635550640. Its totient is φ = 96490414080.

The previous prime is 398023528297. The next prime is 398023528321. The reversal of 398023528320 is 23825320893.

398023528320 is a `hidden beast` number, since 3 + 9 + 80 + 23 + 528 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398023528321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221244 + ... + 919236.

Almost surely, 2^398023528320 is an apocalyptic number.

398023528320 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 398023528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775317775320).

398023528320 is an abundant number, since it is smaller than the sum of its proper divisors (1152612022320).

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

398023528320 is a wasteful number, since it uses less digits than its factorization.

398023528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698035 (or 698014 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 398023528320 in words is "three hundred ninety-eight billion, twenty-three million, five hundred twenty-eight thousand, three hundred twenty".