398727112464 has 100 divisors (see below), whose sum is σ = 1154932074780. Its totient is φ = 132805370880.

The previous prime is 398727112463. The next prime is 398727112477. The reversal of 398727112464 is 464211727893.

398727112464 is a `hidden beast` number, since 39 + 8 + 72 + 71 + 12 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 334768702464 + 63958410000 = 578592^2 + 252900^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 398727112464.

It is not an unprimeable number, because it can be changed into a prime (398727112463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1551204 + ... + 1789884.

Almost surely, 2^398727112464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398727112464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577466037390).

398727112464 is an abundant number, since it is smaller than the sum of its proper divisors (756204962316).

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

398727112464 is a wasteful number, since it uses less digits than its factorization.

398727112464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239990 (or 239975 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 398727112464 in words is "three hundred ninety-eight billion, seven hundred twenty-seven million, one hundred twelve thousand, four hundred sixty-four".