363900 has 36 divisors (see below), whose sum is σ = 1053752. Its totient is φ = 96960.

The previous prime is 363889. The next prime is 363901. The reversal of 363900 is 9363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363901) by changing a digit.

363900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 906.

2³⁶³⁹⁰⁰ is an apocalyptic number.

363900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363900 is an abundant number, since it is smaller than the sum of its proper divisors (689852).

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

363900 is a wasteful number, since it uses less digits than its factorization.

363900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 363900 is about 603.2412452742. The cubic root of 363900 is about 71.3938307250.

It can be divided in two parts, 3 and 63900, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 363900 in words is "three hundred sixty-three thousand, nine hundred".