398301300 has 216 divisors, whose sum is σ = 1332685536. Its totient is φ = 103109760.

The previous prime is 398301259. The next prime is 398301329. The reversal of 398301300 is 3103893.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 898879 + ... + 899321.

Almost surely, 2^398301300 is an apocalyptic number.

398301300 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 398301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666342768).

398301300 is an abundant number, since it is smaller than the sum of its proper divisors (934384236).

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

398301300 is a wasteful number, since it uses less digits than its factorization.

398301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 398301300 is about 19957.4873167942. The cubic root of 398301300 is about 735.7618090484.

The spelling of 398301300 in words is "three hundred ninety-eight million, three hundred one thousand, three hundred".