457948194237600 has 1152 divisors, whose sum is σ = 1761166830108672. Its totient is φ = 102104476876800.

The previous prime is 457948194237557. The next prime is 457948194237601. The reversal of 457948194237600 is 6732491849754.

It is not an unprimeable number, because it can be changed into a prime (457948194237601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13774104177 + ... + 13774137423.

It is an arithmetic number, because the mean of its divisors is an integer number (1528790651136).

It is a 2-persistent number, because it is pandigital, and so is 2⋅457948194237600 = 915896388475200, but 3⋅457948194237600 = 1373844582712800 is not.

Almost surely, 2^{457948194237600} is an apocalyptic number.

457948194237600 is a gapful number since it is divisible by the number (40) 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 457948194237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880583415054336).

457948194237600 is an abundant number, since it is smaller than the sum of its proper divisors (1303218635871072).

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

457948194237600 is a wasteful number, since it uses less digits than its factorization.

457948194237600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33998 (or 33985 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 457948194237600 in words is "four hundred fifty-seven trillion, nine hundred forty-eight billion, one hundred ninety-four million, two hundred thirty-seven thousand, six hundred".