398725104960 has 3360 divisors, whose sum is σ = 1977755028480. Its totient is φ = 75246796800.

The previous prime is 398725104917. The next prime is 398725104961. The reversal of 398725104960 is 69401527893.

398725104960 is a `hidden beast` number, since 3 + 9 + 87 + 2 + 510 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a junction number, because it is equal to n+sod(n) for n = 398725104897 and 398725104906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398725104961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9725002540 + ... + 9725002580.

It is an arithmetic number, because the mean of its divisors is an integer number (588617568).

It is a 1-persistent number, because it is pandigital, but 2⋅398725104960 = 797450209920 is not.

Almost surely, 2^398725104960 is an apocalyptic number.

398725104960 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 398725104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988877514240).

398725104960 is an abundant number, since it is smaller than the sum of its proper divisors (1579029923520).

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

398725104960 is a wasteful number, since it uses less digits than its factorization.

398725104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 398725104960 in words is "three hundred ninety-eight billion, seven hundred twenty-five million, one hundred four thousand, nine hundred sixty".