457973104 has 40 divisors (see below), whose sum is σ = 933534000. Its totient is φ = 217330176.

The previous prime is 457973099. The next prime is 457973107. The reversal of 457973104 is 401379754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457973107) 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, 19012 + ... + 35740.

It is an arithmetic number, because the mean of its divisors is an integer number (23338350).

Almost surely, 2^457973104 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 457973104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466767000).

457973104 is an abundant number, since it is smaller than the sum of its proper divisors (475560896).

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

457973104 is a wasteful number, since it uses less digits than its factorization.

457973104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16825 (or 16819 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 457973104 is about 21400.3061660342. The cubic root of 457973104 is about 770.8087886713.

The spelling of 457973104 in words is "four hundred fifty-seven million, nine hundred seventy-three thousand, one hundred four".