363246240 has 96 divisors (see below), whose sum is σ = 1307698560. Its totient is φ = 83026944.

The previous prime is 363246239. The next prime is 363246271. The reversal of 363246240 is 42642363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 363246198 and 363246207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50695 + ... + 57414.

It is an arithmetic number, because the mean of its divisors is an integer number (13621860).

Almost surely, 2^363246240 is an apocalyptic number.

363246240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363246240 is an abundant number, since it is smaller than the sum of its proper divisors (944452320).

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

363246240 is a wasteful number, since it uses less digits than its factorization.

363246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108134 (or 108126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 363246240 is about 19059.0199118423. The cubic root of 363246240 is about 713.5105119808.

The spelling of 363246240 in words is "three hundred sixty-three million, two hundred forty-six thousand, two hundred forty".