462553 has 24 divisors (see below), whose sum is σ = 632448. Its totient is φ = 329472.

The previous prime is 462547. The next prime is 462557. The reversal of 462553 is 355264.

It is not a de Polignac number, because 462553 - 2⁹ = 462041 is a prime.

It is a Duffinian number.

Its product of digits (3600) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (462557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20100 + ... + 20122.

It is an arithmetic number, because the mean of its divisors is an integer number (26352).

2⁴⁶²⁵⁵³ is an apocalyptic number.

It is an amenable number.

462553 is a deficient number, since it is larger than the sum of its proper divisors (169895).

462553 is a wasteful number, since it uses less digits than its factorization.

462553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 462553 is about 680.1124906955. The cubic root of 462553 is about 77.3369725959.

The spelling of 462553 in words is "four hundred sixty-two thousand, five hundred fifty-three".