457720146000 has 2240 divisors, whose sum is σ = 1989132687360. Its totient is φ = 100776960000.

The previous prime is 457720145983. The next prime is 457720146001. The reversal of 457720146000 is 641027754.

457720146000 is a `hidden beast` number, since 4 + 577 + 20 + 1 + 4 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×457720146000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457720146001) 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 447 ways as a sum of consecutive naturals, for example, 11163905980 + ... + 11163906020.

It is an arithmetic number, because the mean of its divisors is an integer number (888005664).

Almost surely, 2^457720146000 is an apocalyptic number.

457720146000 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 457720146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994566343680).

457720146000 is an abundant number, since it is smaller than the sum of its proper divisors (1531412541360).

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

457720146000 is a wasteful number, since it uses less digits than its factorization.

457720146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 457720146000 in words is "four hundred fifty-seven billion, seven hundred twenty million, one hundred forty-six thousand".