457283897280 has 448 divisors, whose sum is σ = 1850236462080. Its totient is φ = 104148799488.

The previous prime is 457283897269. The next prime is 457283897327. The reversal of 457283897280 is 82798382754.

457283897280 is a `hidden beast` number, since 4 + 572 + 8 + 38 + 9 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 17102482 + ... + 17129198.

Almost surely, 2^457283897280 is an apocalyptic number.

457283897280 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 457283897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925118231040).

457283897280 is an abundant number, since it is smaller than the sum of its proper divisors (1392952564800).

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

457283897280 is a wasteful number, since it uses less digits than its factorization.

457283897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27033 (or 27017 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 457283897280 in words is "four hundred fifty-seven billion, two hundred eighty-three million, eight hundred ninety-seven thousand, two hundred eighty".