457335648 has 288 divisors, whose sum is σ = 1664312832. Its totient is φ = 115660800.

The previous prime is 457335647. The next prime is 457335691. The reversal of 457335648 is 846533754.

457335648 is a `hidden beast` number, since 4 + 57 + 33 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457335647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908965 + ... + 909467.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2^457335648 is an apocalyptic number.

457335648 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 457335648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832156416).

457335648 is an abundant number, since it is smaller than the sum of its proper divisors (1206977184).

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

457335648 is a wasteful number, since it uses less digits than its factorization.

457335648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 457335648 is about 21385.4073610956. The cubic root of 457335648 is about 770.4509912128.

The spelling of 457335648 in words is "four hundred fifty-seven million, three hundred thirty-five thousand, six hundred forty-eight".