457623552 has 96 divisors (see below), whose sum is σ = 1229286240. Its totient is φ = 151388160.

The previous prime is 457623521. The next prime is 457623559. The reversal of 457623552 is 255326754.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 457623552.

It is not an unprimeable number, because it can be changed into a prime (457623559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296208 + ... + 1296560.

It is an arithmetic number, because the mean of its divisors is an integer number (12805065).

Almost surely, 2^457623552 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 457623552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614643120).

457623552 is an abundant number, since it is smaller than the sum of its proper divisors (771662688).

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

457623552 is a wasteful number, since it uses less digits than its factorization.

457623552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its digits is 252000, while the sum is 39.

The square root of 457623552 is about 21392.1376210981. The cubic root of 457623552 is about 770.6126298935.

The spelling of 457623552 in words is "four hundred fifty-seven million, six hundred twenty-three thousand, five hundred fifty-two".