363420720 has 240 divisors, whose sum is σ = 1347851232. Its totient is φ = 87183360.

The previous prime is 363420709. The next prime is 363420727. The reversal of 363420720 is 27024363.

363420720 is a `hidden beast` number, since 3 + 634 + 2 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (363420727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 383287 + ... + 384233.

Almost surely, 2^363420720 is an apocalyptic number.

363420720 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 363420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673925616).

363420720 is an abundant number, since it is smaller than the sum of its proper divisors (984430512).

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

363420720 is a wasteful number, since it uses less digits than its factorization.

363420720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 363420720 is about 19063.5967225495. The cubic root of 363420720 is about 713.6247351283.

The spelling of 363420720 in words is "three hundred sixty-three million, four hundred twenty thousand, seven hundred twenty".