398267449125 has 288 divisors, whose sum is σ = 839601704448. Its totient is φ = 167091724800.

The previous prime is 398267449121. The next prime is 398267449159. The reversal of 398267449125 is 521944762893.

It is a happy number.

It is not a de Polignac number, because 398267449125 - 2² = 398267449121 is a prime.

It is a super-2 number, since 2×398267449125² (a number of 24 digits) contains 22 as substring.

Its product of digits (26127360) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398267449121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 860188644 + ... + 860189106.

It is an arithmetic number, because the mean of its divisors is an integer number (2915283696).

Almost surely, 2^398267449125 is an apocalyptic number.

398267449125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

398267449125 is an abundant number, since it is smaller than the sum of its proper divisors (441334255323).

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

398267449125 is a wasteful number, since it uses less digits than its factorization.

398267449125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 768 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 398267449125 in words is "three hundred ninety-eight billion, two hundred sixty-seven million, four hundred forty-nine thousand, one hundred twenty-five".