398646600 has 432 divisors, whose sum is σ = 1518913200. Its totient is φ = 86169600.

The previous prime is 398646587. The next prime is 398646601. The reversal of 398646600 is 6646893.

It is a super-2 number, since 2×398646600² = 317838223383120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (398646601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20981391 + ... + 20981409.

Almost surely, 2^398646600 is an apocalyptic number.

398646600 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 398646600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759456600).

398646600 is an abundant number, since it is smaller than the sum of its proper divisors (1120266600).

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

398646600 is a wasteful number, since it uses less digits than its factorization.

398646600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 398646600 is about 19966.1363312986. The cubic root of 398646600 is about 735.9743660338.

It can be divided in two parts, 39864 and 6600, that added together give a palindrome (46464).

The spelling of 398646600 in words is "three hundred ninety-eight million, six hundred forty-six thousand, six hundred".