457547322240 has 768 divisors, whose sum is σ = 1706466528000. Its totient is φ = 115826872320.

The previous prime is 457547322217. The next prime is 457547322257. The reversal of 457547322240 is 42223745754.

457547322240 is a `hidden beast` number, since 4 + 57 + 547 + 32 + 2 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 979758487 + ... + 979758953.

It is an arithmetic number, because the mean of its divisors is an integer number (2221961625).

Almost surely, 2^457547322240 is an apocalyptic number.

457547322240 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 457547322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853233264000).

457547322240 is an abundant number, since it is smaller than the sum of its proper divisors (1248919205760).

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

457547322240 is a wasteful number, since it uses less digits than its factorization.

457547322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 457547322240 in words is "four hundred fifty-seven billion, five hundred forty-seven million, three hundred twenty-two thousand, two hundred forty".