398270545920 has 1200 divisors, whose sum is σ = 1625253685440. Its totient is φ = 92876046336.

The previous prime is 398270545913. The next prime is 398270545921. The reversal of 398270545920 is 29545072893.

398270545920 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 7 + 0 + 545 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398270545921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20961607671 + ... + 20961607689.

Almost surely, 2^398270545920 is an apocalyptic number.

398270545920 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 398270545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812626842720).

398270545920 is an abundant number, since it is smaller than the sum of its proper divisors (1226983139520).

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

398270545920 is an frugal number, since it uses more digits than its factorization.

398270545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 398270545920 in words is "three hundred ninety-eight billion, two hundred seventy million, five hundred forty-five thousand, nine hundred twenty".