900457 has 6 divisors (see below), whose sum is σ = 931434. Its totient is φ = 870480.

The previous prime is 900443. The next prime is 900461. The reversal of 900457 is 754009.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 346921 = 744^2 + 589^2 .

It is not a de Polignac number, because 900457 - 2⁷ = 900329 is a prime.

It is a super-3 number, since 3×900457³ = 2190333221963231979, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900157) 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 5 ways as a sum of consecutive naturals, for example, 493 + ... + 1429.

It is an arithmetic number, because the mean of its divisors is an integer number (155239).

2⁹⁰⁰⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

900457 is a deficient number, since it is larger than the sum of its proper divisors (30977).

900457 is an equidigital number, since it uses as much as digits as its factorization.

900457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 900457 is about 948.9241276309. The cubic root of 900457 is about 96.5652774971.

The spelling of 900457 in words is "nine hundred thousand, four hundred fifty-seven".