457353120 has 192 divisors, whose sum is σ = 1668280320. Its totient is φ = 103154688.

The previous prime is 457353107. The next prime is 457353121. The reversal of 457353120 is 21353754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (457353121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264579 + ... + 266301.

It is an arithmetic number, because the mean of its divisors is an integer number (8688960).

Almost surely, 2^457353120 is an apocalyptic number.

457353120 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 457353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834140160).

457353120 is an abundant number, since it is smaller than the sum of its proper divisors (1210927200).

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

457353120 is a wasteful number, since it uses less digits than its factorization.

457353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 457353120 is about 21385.8158600508. The cubic root of 457353120 is about 770.4608024958.

The spelling of 457353120 in words is "four hundred fifty-seven million, three hundred fifty-three thousand, one hundred twenty".