398750466400 has 648 divisors, whose sum is σ = 1206586054800. Its totient is φ = 127813171200.

The previous prime is 398750466397. The next prime is 398750466403. The reversal of 398750466400 is 4664057893.

It is an interprime number because it is at equal distance from previous prime (398750466397) and next prime (398750466403).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398750466403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 665693301 + ... + 665693899.

Almost surely, 2^398750466400 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 398750466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603293027400).

398750466400 is an abundant number, since it is smaller than the sum of its proper divisors (807835588400).

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

398750466400 is a wasteful number, since it uses less digits than its factorization.

398750466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 398750466400 in words is "three hundred ninety-eight billion, seven hundred fifty million, four hundred sixty-six thousand, four hundred".