457645000 has 40 divisors (see below), whose sum is σ = 1072273950. Its totient is φ = 183056000.

The previous prime is 457644959. The next prime is 457645009. The reversal of 457645000 is 546754.

It is a happy number.

457645000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 21921124 + 435723876 = 4682^2 + 20874^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×457645000³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (457645009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40765 + ... + 50764.

Almost surely, 2^457645000 is an apocalyptic number.

457645000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457645000 is an abundant number, since it is smaller than the sum of its proper divisors (614628950).

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

457645000 is an equidigital number, since it uses as much as digits as its factorization.

457645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91555 (or 91536 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 457645000 is about 21392.6389208999. The cubic root of 457645000 is about 770.6246687854.

The spelling of 457645000 in words is "four hundred fifty-seven million, six hundred forty-five thousand".