398003457600 has 1344 divisors, whose sum is σ = 1779700377600. Its totient is φ = 84493393920.

The previous prime is 398003457587. The next prime is 398003457641. The reversal of 398003457600 is 6754300893.

398003457600 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 0 + 34 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 304516147 + ... + 304517453.

Almost surely, 2^398003457600 is an apocalyptic number.

398003457600 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 398003457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889850188800).

398003457600 is an abundant number, since it is smaller than the sum of its proper divisors (1381696920000).

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

398003457600 is a wasteful number, since it uses less digits than its factorization.

398003457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 398003457600 in words is "three hundred ninety-eight billion, three million, four hundred fifty-seven thousand, six hundred".