363552 has 48 divisors (see below), whose sum is σ = 1092672. Its totient is φ = 103680.

The previous prime is 363551. The next prime is 363557. The reversal of 363552 is 255363.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3⁵ + 6⁷ + 5² + 3⁷ + 5⁶ + 2¹⁶ .

It is not an unprimeable number, because it can be changed into a prime (363551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (22764).

2³⁶³⁵⁵² is an apocalyptic number.

363552 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 363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546336).

363552 is an abundant number, since it is smaller than the sum of its proper divisors (729120).

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

363552 is a wasteful number, since it uses less digits than its factorization.

363552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 363552 is about 602.9527344660. The cubic root of 363552 is about 71.3710653342.

The spelling of 363552 in words is "three hundred sixty-three thousand, five hundred fifty-two".