363705472 has 64 divisors (see below), whose sum is σ = 807319800. Its totient is φ = 162054144.

The previous prime is 363705457. The next prime is 363705473. The reversal of 363705472 is 274507363.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 119596096 = 15624^2 + 10936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (363705473) 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 7 ways as a sum of consecutive naturals, for example, 44488 + ... + 52024.

Almost surely, 2^363705472 is an apocalyptic number.

363705472 is a gapful number since it is divisible by the number (32) 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 363705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403659900).

363705472 is an abundant number, since it is smaller than the sum of its proper divisors (443614328).

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

363705472 is a wasteful number, since it uses less digits than its factorization.

363705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The square root of 363705472 is about 19071.0637354082. The cubic root of 363705472 is about 713.8110692306.

The spelling of 363705472 in words is "three hundred sixty-three million, seven hundred five thousand, four hundred seventy-two".