455757252352 has 144 divisors (see below), whose sum is σ = 979432473600. Its totient is φ = 210980229120.

The previous prime is 455757252341. The next prime is 455757252359. The reversal of 455757252352 is 253252757554.

It is a self number, because there is not a number n which added to its sum of digits gives 455757252352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455757252359) 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 15 ways as a sum of consecutive naturals, for example, 242552149 + ... + 242554027.

It is an arithmetic number, because the mean of its divisors is an integer number (6801614400).

Almost surely, 2^455757252352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455757252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489716236800).

455757252352 is an abundant number, since it is smaller than the sum of its proper divisors (523675221248).

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

455757252352 is a wasteful number, since it uses less digits than its factorization.

455757252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3008 counting only the distinct ones).

The product of its digits is 14700000, while the sum is 52.

It can be divided in two parts, 45575 and 7252352, that added together give a palindrome (7297927).

The spelling of 455757252352 in words is "four hundred fifty-five billion, seven hundred fifty-seven million, two hundred fifty-two thousand, three hundred fifty-two".