457561632 has 96 divisors (see below), whose sum is σ = 1367331840. Its totient is φ = 132619520.

The previous prime is 457561631. The next prime is 457561651. The reversal of 457561632 is 236165754.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (457561631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14869 + ... + 33707.

It is an arithmetic number, because the mean of its divisors is an integer number (14243040).

Almost surely, 2^457561632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683665920).

457561632 is an abundant number, since it is smaller than the sum of its proper divisors (909770208).

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

457561632 is a wasteful number, since it uses less digits than its factorization.

457561632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18886 (or 18878 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 457561632 is about 21390.6903114416. The cubic root of 457561632 is about 770.5778717128.

The spelling of 457561632 in words is "four hundred fifty-seven million, five hundred sixty-one thousand, six hundred thirty-two".