457233475140 has 576 divisors, whose sum is σ = 1578202988544. Its totient is φ = 106375680000.

The previous prime is 457233475129. The next prime is 457233475147. The reversal of 457233475140 is 41574332754.

It is a happy number.

457233475140 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 33 + 475 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (457233475147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 845163270 + ... + 845163810.

It is an arithmetic number, because the mean of its divisors is an integer number (2739935744).

Almost surely, 2^457233475140 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 457233475140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789101494272).

457233475140 is an abundant number, since it is smaller than the sum of its proper divisors (1120969513404).

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

457233475140 is a wasteful number, since it uses less digits than its factorization.

457233475140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 457233475140 in words is "four hundred fifty-seven billion, two hundred thirty-three million, four hundred seventy-five thousand, one hundred forty".