360042432 has 112 divisors (see below), whose sum is σ = 991355904. Its totient is φ = 115200000.

The previous prime is 360042379. The next prime is 360042467. The reversal of 360042432 is 234240063.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434307 + ... + 1434557.

It is an arithmetic number, because the mean of its divisors is an integer number (8851392).

Almost surely, 2^360042432 is an apocalyptic number.

360042432 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 360042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495677952).

360042432 is an abundant number, since it is smaller than the sum of its proper divisors (631313472).

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

360042432 is a wasteful number, since it uses less digits than its factorization.

360042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 360042432 is about 18974.7841094438. The cubic root of 360042432 is about 711.4066090772.

Adding to 360042432 its reverse (234240063), we get a palindrome (594282495).

The spelling of 360042432 in words is "three hundred sixty million, forty-two thousand, four hundred thirty-two".