457468518528 has 224 divisors, whose sum is σ = 1561624536960. Its totient is φ = 130705104384.

The previous prime is 457468518527. The next prime is 457468518667. The reversal of 457468518528 is 825815864754.

457468518528 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 68 + 518 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457468518523) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 303001 + ... + 1003367.

Almost surely, 2^457468518528 is an apocalyptic number.

457468518528 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 457468518528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780812268480).

457468518528 is an abundant number, since it is smaller than the sum of its proper divisors (1104156018432).

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

457468518528 is an frugal number, since it uses more digits than its factorization.

457468518528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700406 (or 700379 counting only the distinct ones).

The product of its digits is 86016000, while the sum is 63.

The spelling of 457468518528 in words is "four hundred fifty-seven billion, four hundred sixty-eight million, five hundred eighteen thousand, five hundred twenty-eight".