457463385400 has 192 divisors, whose sum is σ = 1255776768000. Its totient is φ = 151661721600.

The previous prime is 457463385343. The next prime is 457463385473. The reversal of 457463385400 is 4583364754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64619061 + ... + 64626139.

It is an arithmetic number, because the mean of its divisors is an integer number (6540504000).

Almost surely, 2^457463385400 is an apocalyptic number.

457463385400 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 457463385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627888384000).

457463385400 is an abundant number, since it is smaller than the sum of its proper divisors (798313382600).

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

457463385400 is a wasteful number, since it uses less digits than its factorization.

457463385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 457463385400 in words is "four hundred fifty-seven billion, four hundred sixty-three million, three hundred eighty-five thousand, four hundred".