457005246324 has 192 divisors, whose sum is σ = 1199222744832. Its totient is φ = 134284492800.

The previous prime is 457005246311. The next prime is 457005246359. The reversal of 457005246324 is 423642500754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228844894 + ... + 228846890.

It is an arithmetic number, because the mean of its divisors is an integer number (6245951796).

Almost surely, 2^457005246324 is an apocalyptic number.

457005246324 is a gapful number since it is divisible by the number (44) 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 457005246324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599611372416).

457005246324 is an abundant number, since it is smaller than the sum of its proper divisors (742217498508).

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

457005246324 is a wasteful number, since it uses less digits than its factorization.

457005246324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 457005246324 in words is "four hundred fifty-seven billion, five million, two hundred forty-six thousand, three hundred twenty-four".