457288671840 has 1536 divisors, whose sum is σ = 2007417323520. Its totient is φ = 84448051200.

The previous prime is 457288671821. The next prime is 457288671871. The reversal of 457288671840 is 48176882754.

It is a super-2 number, since 2×457288671840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2738255437 + ... + 2738255603.

It is an arithmetic number, because the mean of its divisors is an integer number (1306912320).

Almost surely, 2^457288671840 is an apocalyptic number.

457288671840 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 457288671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003708661760).

457288671840 is an abundant number, since it is smaller than the sum of its proper divisors (1550128651680).

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

457288671840 is a wasteful number, since it uses less digits than its factorization.

457288671840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 457288671840 in words is "four hundred fifty-seven billion, two hundred eighty-eight million, six hundred seventy-one thousand, eight hundred forty".