462051 has 16 divisors (see below), whose sum is σ = 695200. Its totient is φ = 303264.

The previous prime is 462041. The next prime is 462067. The reversal of 462051 is 150264.

462051 = 3² + 4² + ... + 111².

It is a happy number.

It is not a de Polignac number, because 462051 - 2¹⁵ = 429283 is a prime.

It is a super-2 number, since 2×462051² = 426982253202, which contains 22 as substring.

It is a Duffinian number.

462051 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2865 + ... + 3021.

It is an arithmetic number, because the mean of its divisors is an integer number (43450).

2⁴⁶²⁰⁵¹ is an apocalyptic number.

462051 is a deficient number, since it is larger than the sum of its proper divisors (233149).

462051 is a wasteful number, since it uses less digits than its factorization.

462051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 462051 is about 679.7433339136. The cubic root of 462051 is about 77.3089850187.

The spelling of 462051 in words is "four hundred sixty-two thousand, fifty-one".