398253024000 has 1440 divisors, whose sum is σ = 1633430582784. Its totient is φ = 95750553600.

The previous prime is 398253023999. The next prime is 398253024017. The reversal of 398253024000 is 420352893.

398253024000 is a `hidden beast` number, since 3 + 9 + 82 + 530 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×398253024000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1785887889 + ... + 1785888111.

Almost surely, 2^398253024000 is an apocalyptic number.

398253024000 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 398253024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816715291392).

398253024000 is an abundant number, since it is smaller than the sum of its proper divisors (1235177558784).

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

398253024000 is a wasteful number, since it uses less digits than its factorization.

398253024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 398253024000 its reverse (420352893), we get a palindrome (398673376893).

The spelling of 398253024000 in words is "three hundred ninety-eight billion, two hundred fifty-three million, twenty-four thousand".