363053152 has 192 divisors, whose sum is σ = 948326400. Its totient is φ = 135475200.

The previous prime is 363053147. The next prime is 363053179. The reversal of 363053152 is 251350363.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 363053152.

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 3742768 + ... + 3742864.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2^363053152 is an apocalyptic number.

363053152 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 363053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

363053152 is an abundant number, since it is smaller than the sum of its proper divisors (585273248).

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

363053152 is a wasteful number, since it uses less digits than its factorization.

363053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 363053152 is about 19053.9537104508. The cubic root of 363053152 is about 713.3840644814.

The spelling of 363053152 in words is "three hundred sixty-three million, fifty-three thousand, one hundred fifty-two".