362940 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 92224.

The previous prime is 362927. The next prime is 362941. The reversal of 362940 is 49263.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 362940.

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 362940.

It is not an unprimeable number, because it can be changed into a prime (362941) 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, 1249 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2³⁶²⁹⁴⁰ is an apocalyptic number.

362940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

362940 is an abundant number, since it is smaller than the sum of its proper divisors (701508).

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

362940 is a wasteful number, since it uses less digits than its factorization.

362940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 362940 is about 602.4450182382. The cubic root of 362940 is about 71.3309943818.

The spelling of 362940 in words is "three hundred sixty-two thousand, nine hundred forty".