457553440 has 96 divisors (see below), whose sum is σ = 1165933440. Its totient is φ = 169113600.

The previous prime is 457553429. The next prime is 457553477. The reversal of 457553440 is 44355754.

It is a self number, because there is not a number n which added to its sum of digits gives 457553440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122805 + ... + 126475.

It is an arithmetic number, because the mean of its divisors is an integer number (12145140).

Almost surely, 2^457553440 is an apocalyptic number.

457553440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582966720).

457553440 is an abundant number, since it is smaller than the sum of its proper divisors (708380000).

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

457553440 is a wasteful number, since it uses less digits than its factorization.

457553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

The square root of 457553440 is about 21390.4988254131. The cubic root of 457553440 is about 770.5732729796.

The spelling of 457553440 in words is "four hundred fifty-seven million, five hundred fifty-three thousand, four hundred forty".