398520000 has 420 divisors, whose sum is σ = 1516370856. Its totient is φ = 103680000.

The previous prime is 398519999. The next prime is 398520013. The reversal of 398520000 is 25893.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1230 × 270 × 1200.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9719980 + ... + 9720020.

Almost surely, 2^398520000 is an apocalyptic number.

398520000 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 398520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758185428).

398520000 is an abundant number, since it is smaller than the sum of its proper divisors (1117850856).

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

398520000 is an frugal number, since it uses more digits than its factorization.

398520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 398520000 is about 19962.9657115370. The cubic root of 398520000 is about 735.8964488847.

Adding to 398520000 its reverse (25893), we get a palindrome (398545893).

The spelling of 398520000 in words is "three hundred ninety-eight million, five hundred twenty thousand".