462090 has 32 divisors (see below), whose sum is σ = 1129536. Its totient is φ = 120960.

The previous prime is 462079. The next prime is 462097. The reversal of 462090 is 90264.

462090 = 302² + 303² + ... + 306².

It is not an unprimeable number, because it can be changed into a prime (462097) by changing a digit.

462090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2085 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (35298).

2⁴⁶²⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564768).

462090 is an abundant number, since it is smaller than the sum of its proper divisors (667446).

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

462090 is a wasteful number, since it uses less digits than its factorization.

462090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 462090 is about 679.7720206069. The cubic root of 462090 is about 77.3111600785.

The spelling of 462090 in words is "four hundred sixty-two thousand, ninety".