457575575754 has 64 divisors (see below), whose sum is σ = 1008320421888. Its totient is φ = 137274782400.

The previous prime is 457575575753. The next prime is 457575575759.

457575575754 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (457575575753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32834172 + ... + 32848104.

It is an arithmetic number, because the mean of its divisors is an integer number (15755006592).

Almost surely, 2^457575575754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457575575754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504160210944).

457575575754 is an abundant number, since it is smaller than the sum of its proper divisors (550744846134).

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

457575575754 is a wasteful number, since it uses less digits than its factorization.

457575575754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18883.

The product of its digits is 600250000, while the sum is 66.

The spelling of 457575575754 in words is "four hundred fifty-seven billion, five hundred seventy-five million, five hundred seventy-five thousand, seven hundred fifty-four".