480942 has 48 divisors (see below), whose sum is σ = 1302912. Its totient is φ = 124560.

The previous prime is 480941. The next prime is 480959. The reversal of 480942 is 249084.

It is a super-3 number, since 3×480942³ = 333733167120170664, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480942.

It is not an unprimeable number, because it can be changed into a prime (480941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (27144).

2⁴⁸⁰⁹⁴² is an apocalyptic number.

480942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 693×694.

It is a practical number, because each smaller number is the sum of distinct divisors of 480942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651456).

480942 is an abundant number, since it is smaller than the sum of its proper divisors (821970).

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

480942 is a wasteful number, since it uses less digits than its factorization.

480942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480942 is about 693.4998197548. The cubic root of 480942 is about 78.3485388721.

It can be divided in two parts, 4809 and 42, that added together give a triangular number (4851 = T₉₈).

The spelling of 480942 in words is "four hundred eighty thousand, nine hundred forty-two".