457198233000 has 256 divisors, whose sum is σ = 1489050051840. Its totient is φ = 116678016000.

The previous prime is 457198232999. The next prime is 457198233001. The reversal of 457198233000 is 332891754.

It is an interprime number because it is at equal distance from previous prime (457198232999) and next prime (457198233001).

It is not an unprimeable number, because it can be changed into a prime (457198233001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6737239 + ... + 6804761.

It is an arithmetic number, because the mean of its divisors is an integer number (5816601765).

Almost surely, 2^457198233000 is an apocalyptic number.

457198233000 is a gapful number since it is divisible by the number (40) 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 457198233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744525025920).

457198233000 is an abundant number, since it is smaller than the sum of its proper divisors (1031851818840).

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

457198233000 is a wasteful number, since it uses less digits than its factorization.

457198233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67645 (or 67631 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 457198233000 in words is "four hundred fifty-seven billion, one hundred ninety-eight million, two hundred thirty-three thousand".