457312407552 has 1872 divisors, whose sum is σ = 1950059809152. Its totient is φ = 103195607040.

The previous prime is 457312407551. The next prime is 457312407571. The reversal of 457312407552 is 255704213754.

457312407552 is a `hidden beast` number, since 4 + 5 + 73 + 1 + 24 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a junction number, because it is equal to n+sod(n) for n = 457312407498 and 457312407507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457312407551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26900729848 + ... + 26900729864.

It is an arithmetic number, because the mean of its divisors is an integer number (1041698616).

Almost surely, 2^457312407552 is an apocalyptic number.

457312407552 is a gapful number since it is divisible by the number (42) 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 457312407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975029904576).

457312407552 is an abundant number, since it is smaller than the sum of its proper divisors (1492747401600).

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

457312407552 is an equidigital number, since it uses as much as digits as its factorization.

457312407552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 457312407552 in words is "four hundred fifty-seven billion, three hundred twelve million, four hundred seven thousand, five hundred fifty-two".