398646864 has 240 divisors, whose sum is σ = 1405921920. Its totient is φ = 102435840.

The previous prime is 398646863. The next prime is 398646881. The reversal of 398646864 is 468646893.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 398646864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398646863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740702 + ... + 1740930.

It is an arithmetic number, because the mean of its divisors is an integer number (5858008).

Almost surely, 2^398646864 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 398646864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702960960).

398646864 is an abundant number, since it is smaller than the sum of its proper divisors (1007275056).

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

398646864 is a wasteful number, since it uses less digits than its factorization.

398646864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 398646864 is about 19966.1429424914. The cubic root of 398646864 is about 735.9745284978.

The spelling of 398646864 in words is "three hundred ninety-eight million, six hundred forty-six thousand, eight hundred sixty-four".