398682929760 has 192 divisors, whose sum is σ = 1268048634048. Its totient is φ = 105284501504.

The previous prime is 398682929747. The next prime is 398682929773. The reversal of 398682929760 is 67929286893.

It is an interprime number because it is at equal distance from previous prime (398682929747) and next prime (398682929773).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84232354 + ... + 84237086.

It is an arithmetic number, because the mean of its divisors is an integer number (6604419969).

Almost surely, 2^398682929760 is an apocalyptic number.

398682929760 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 398682929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634024317024).

398682929760 is an abundant number, since it is smaller than the sum of its proper divisors (869365704288).

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

398682929760 is a wasteful number, since it uses less digits than its factorization.

398682929760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 69.

The spelling of 398682929760 in words is "three hundred ninety-eight billion, six hundred eighty-two million, nine hundred twenty-nine thousand, seven hundred sixty".