457524164448 has 384 divisors, whose sum is σ = 1587803212800. Its totient is φ = 126733787136.

The previous prime is 457524164423. The next prime is 457524164509. The reversal of 457524164448 is 844461425754.

457524164448 is a `hidden beast` number, since 4 + 57 + 52 + 41 + 64 + 448 = 666.

It is a super-2 number, since 2×457524164448² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 457524164394 and 457524164403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4339623 + ... + 4443801.

It is an arithmetic number, because the mean of its divisors is an integer number (4134904200).

Almost surely, 2^457524164448 is an apocalyptic number.

457524164448 is a gapful number since it is divisible by the number (48) 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 457524164448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793901606400).

457524164448 is an abundant number, since it is smaller than the sum of its proper divisors (1130279048352).

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

457524164448 is a wasteful number, since it uses less digits than its factorization.

457524164448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104251 (or 104237 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 457524164448 in words is "four hundred fifty-seven billion, five hundred twenty-four million, one hundred sixty-four thousand, four hundred forty-eight".