457044485040 has 640 divisors, whose sum is σ = 1852981401600. Its totient is φ = 102082498560.

The previous prime is 457044485011. The next prime is 457044485083. The reversal of 457044485040 is 40584440754.

It is a super-2 number, since 2×457044485040² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218994877 + ... + 218996963.

It is an arithmetic number, because the mean of its divisors is an integer number (2895283440).

Almost surely, 2^457044485040 is an apocalyptic number.

457044485040 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 457044485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926490700800).

457044485040 is an abundant number, since it is smaller than the sum of its proper divisors (1395936916560).

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

457044485040 is a wasteful number, since it uses less digits than its factorization.

457044485040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 457044485040 in words is "four hundred fifty-seven billion, forty-four million, four hundred eighty-five thousand, forty".