457609459500 has 288 divisors, whose sum is σ = 1585142395200. Its totient is φ = 114850483200.

The previous prime is 457609459493. The next prime is 457609459501. The reversal of 457609459500 is 5954906754.

457609459500 is a `hidden beast` number, since 45 + 7 + 6 + 0 + 9 + 4 + 595 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (457609459501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1954726 + ... + 2176274.

It is an arithmetic number, because the mean of its divisors is an integer number (5503966650).

Almost surely, 2^457609459500 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 457609459500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792571197600).

457609459500 is an abundant number, since it is smaller than the sum of its proper divisors (1127532935700).

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

457609459500 is a wasteful number, since it uses less digits than its factorization.

457609459500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221600 (or 221576 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 457609459500 in words is "four hundred fifty-seven billion, six hundred nine million, four hundred fifty-nine thousand, five hundred".