363142824 has 64 divisors (see below), whose sum is σ = 992364480. Its totient is φ = 109824000.

The previous prime is 363142823. The next prime is 363142841. The reversal of 363142824 is 428241363.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (363142823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173464 + ... + 175544.

It is an arithmetic number, because the mean of its divisors is an integer number (15505695).

Almost surely, 2^363142824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363142824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496182240).

363142824 is an abundant number, since it is smaller than the sum of its proper divisors (629221656).

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

363142824 is a wasteful number, since it uses less digits than its factorization.

363142824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2758 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 363142824 is about 19056.3066725953. The cubic root of 363142824 is about 713.4427935402.

The spelling of 363142824 in words is "three hundred sixty-three million, one hundred forty-two thousand, eight hundred twenty-four".