457533193744 has 45 divisors (see below), whose sum is σ = 974448385869. Its totient is φ = 207956105280.

The previous prime is 457533193729. The next prime is 457533193759. The reversal of 457533193744 is 447391335754.

The square root of 457533193744 is 676412.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (457533193729) and next prime (457533193759).

It can be written as a sum of positive squares in only one way, i.e., 7174090000 + 450359103744 = 84700^2 + 671088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29754442 + ... + 29769814.

Almost surely, 2^457533193744 is an apocalyptic number.

457533193744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

457533193744 is the 676412-nd square number.

It is an amenable number.

457533193744 is an abundant number, since it is smaller than the sum of its proper divisors (516915192125).

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

457533193744 is an frugal number, since it uses more digits than its factorization.

457533193744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30776 (or 15386 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 55.

The spelling of 457533193744 in words is "four hundred fifty-seven billion, five hundred thirty-three million, one hundred ninety-three thousand, seven hundred forty-four".