457814448 has 480 divisors, whose sum is σ = 1733222400. Its totient is φ = 111767040.

The previous prime is 457814447. The next prime is 457814459. The reversal of 457814448 is 844418754.

It is not an unprimeable number, because it can be changed into a prime (457814447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14768193 + ... + 14768223.

It is an arithmetic number, because the mean of its divisors is an integer number (3610880).

Almost surely, 2^457814448 is an apocalyptic number.

457814448 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 457814448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866611200).

457814448 is an abundant number, since it is smaller than the sum of its proper divisors (1275407952).

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

457814448 is a wasteful number, since it uses less digits than its factorization.

457814448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 457814448 is about 21396.5989820812. The cubic root of 457814448 is about 770.7197677492.

The spelling of 457814448 in words is "four hundred fifty-seven million, eight hundred fourteen thousand, four hundred forty-eight".