457459434432 has 1792 divisors, whose sum is σ = 1958460456960. Its totient is φ = 100727193600.

The previous prime is 457459434401. The next prime is 457459434437. The reversal of 457459434432 is 234434954754.

457459434432 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 594 + 3 + 4 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457459434437) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1382052507 + ... + 1382052837.

It is an arithmetic number, because the mean of its divisors is an integer number (1092890880).

Almost surely, 2^457459434432 is an apocalyptic number.

457459434432 is a gapful number since it is divisible by the number (42) 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 457459434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979230228480).

457459434432 is an abundant number, since it is smaller than the sum of its proper divisors (1501001022528).

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

457459434432 is a wasteful number, since it uses less digits than its factorization.

457459434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 54.

The spelling of 457459434432 in words is "four hundred fifty-seven billion, four hundred fifty-nine million, four hundred thirty-four thousand, four hundred thirty-two".