457557540 has 192 divisors, whose sum is σ = 1473631488. Its totient is φ = 105062400.

The previous prime is 457557521. The next prime is 457557547. The reversal of 457557540 is 45755754.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 457557492 and 457557501.

It is not an unprimeable number, because it can be changed into a prime (457557547) 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 63 ways as a sum of consecutive naturals, for example, 1000992 + ... + 1001448.

It is an arithmetic number, because the mean of its divisors is an integer number (7675164).

Almost surely, 2^457557540 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 457557540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736815744).

457557540 is an abundant number, since it is smaller than the sum of its proper divisors (1016073948).

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

457557540 is a wasteful number, since it uses less digits than its factorization.

457557540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The square root of 457557540 is about 21390.5946621406. The cubic root of 457557540 is about 770.5755745985.

The spelling of 457557540 in words is "four hundred fifty-seven million, five hundred fifty-seven thousand, five hundred forty".