457000993440 has 384 divisors, whose sum is σ = 1639263225600. Its totient is φ = 118846586880.

The previous prime is 457000993387. The next prime is 457000993441. The reversal of 457000993440 is 44399000754.

It is a happy number.

457000993440 is a `hidden beast` number, since 4 + 570 + 0 + 0 + 9 + 9 + 34 + 40 = 666.

It is a super-3 number, since 3×457000993440³ (a number of 36 digits) contains 333 as substring.

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 (457000993441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150278320 + ... + 150281360.

It is an arithmetic number, because the mean of its divisors is an integer number (4268914650).

Almost surely, 2^457000993440 is an apocalyptic number.

457000993440 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 457000993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819631612800).

457000993440 is an abundant number, since it is smaller than the sum of its proper divisors (1182262232160).

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

457000993440 is a wasteful number, since it uses less digits than its factorization.

457000993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 457000993440 in words is "four hundred fifty-seven billion, nine hundred ninety-three thousand, four hundred forty".