463890 has 48 divisors (see below), whose sum is σ = 1300032. Its totient is φ = 103776.

The previous prime is 463889. The next prime is 463891. The reversal of 463890 is 98364.

463890 = T₁₄₅ + T₁₄₆ + ... + T₁₇₉.

It is an interprime number because it is at equal distance from previous prime (463889) and next prime (463891).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9847 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (27084).

2⁴⁶³⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650016).

463890 is an abundant number, since it is smaller than the sum of its proper divisors (836142).

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

463890 is a wasteful number, since it uses less digits than its factorization.

463890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 463890 is about 681.0947070709. The cubic root of 463890 is about 77.4114145642.

The spelling of 463890 in words is "four hundred sixty-three thousand, eight hundred ninety".