457827775440 has 80 divisors (see below), whose sum is σ = 1622018410368. Its totient is φ = 104646348288.

The previous prime is 457827775411. The next prime is 457827775487. The reversal of 457827775440 is 44577728754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 15 ways as a sum of consecutive naturals, for example, 136256587 + ... + 136259946.

Almost surely, 2^457827775440 is an apocalyptic number.

457827775440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457827775440 is an abundant number, since it is smaller than the sum of its proper divisors (1164190634928).

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

457827775440 is a wasteful number, since it uses less digits than its factorization.

457827775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272516556 (or 272516550 counting only the distinct ones).

The product of its (nonzero) digits is 61465600, while the sum is 60.

The spelling of 457827775440 in words is "four hundred fifty-seven billion, eight hundred twenty-seven million, seven hundred seventy-five thousand, four hundred forty".