457823197440 has 3024 divisors, whose sum is σ = 2200491256320. Its totient is φ = 90296156160.

The previous prime is 457823197427. The next prime is 457823197451. The reversal of 457823197440 is 44791328754.

457823197440 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 2 + 3 + 197 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×457823197440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 14768490225 + ... + 14768490255.

It is an arithmetic number, because the mean of its divisors is an integer number (727675680).

Almost surely, 2^457823197440 is an apocalyptic number.

457823197440 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 457823197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100245628160).

457823197440 is an abundant number, since it is smaller than the sum of its proper divisors (1742668058880).

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

457823197440 is a wasteful number, since it uses less digits than its factorization.

457823197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 457823197440 in words is "four hundred fifty-seven billion, eight hundred twenty-three million, one hundred ninety-seven thousand, four hundred forty".