398061905472 has 560 divisors, whose sum is σ = 1475084476800. Its totient is φ = 103115980800.

The previous prime is 398061905467. The next prime is 398061905473. The reversal of 398061905472 is 274509160893.

398061905472 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 6 + 1 + 90 + 547 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (398061905473) 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, 179225322 + ... + 179227542.

It is a 1-persistent number, because it is pandigital, but 2⋅398061905472 = 796123810944 is not.

Almost surely, 2^398061905472 is an apocalyptic number.

398061905472 is a gapful number since it is divisible by the number (32) 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 398061905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737542238400).

398061905472 is an abundant number, since it is smaller than the sum of its proper divisors (1077022571328).

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

398061905472 is a wasteful number, since it uses less digits than its factorization.

398061905472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2693 counting only the distinct ones).

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

The spelling of 398061905472 in words is "three hundred ninety-eight billion, sixty-one million, nine hundred five thousand, four hundred seventy-two".