360047430 has 80 divisors (see below), whose sum is σ = 971736480. Its totient is φ = 95655168.

The previous prime is 360047419. The next prime is 360047431. The reversal of 360047430 is 34740063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 360047394 and 360047403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360047431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272311 + ... + 273629.

It is an arithmetic number, because the mean of its divisors is an integer number (12146706).

Almost surely, 2^360047430 is an apocalyptic number.

360047430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 360047430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485868240).

360047430 is an abundant number, since it is smaller than the sum of its proper divisors (611689050).

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

360047430 is a wasteful number, since it uses less digits than its factorization.

360047430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

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

The square root of 360047430 is about 18974.9158100899. The cubic root of 360047430 is about 711.4099009056.

Adding to 360047430 its reverse (34740063), we get a palindrome (394787493).

It can be divided in two parts, 36004 and 7430, that added together give a palindrome (43434).

The spelling of 360047430 in words is "three hundred sixty million, forty-seven thousand, four hundred thirty".