457283534400 has 2688 divisors, whose sum is σ = 2235056947200. Its totient is φ = 88136294400.

The previous prime is 457283534371. The next prime is 457283534473. The reversal of 457283534400 is 4435382754.

457283534400 is a `hidden beast` number, since 4 + 5 + 72 + 8 + 3 + 534 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3289809531 + ... + 3289809669.

It is an arithmetic number, because the mean of its divisors is an integer number (831494400).

Almost surely, 2^457283534400 is an apocalyptic number.

457283534400 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 457283534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117528473600).

457283534400 is an abundant number, since it is smaller than the sum of its proper divisors (1777773412800).

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

457283534400 is a wasteful number, since it uses less digits than its factorization.

457283534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 457283534400 in words is "four hundred fifty-seven billion, two hundred eighty-three million, five hundred thirty-four thousand, four hundred".