360078432 has 96 divisors (see below), whose sum is σ = 1127250432. Its totient is φ = 98402304.

The previous prime is 360078427. The next prime is 360078461. The reversal of 360078432 is 234870063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 360078393 and 360078402.

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, 3808 + ... + 27104.

It is an arithmetic number, because the mean of its divisors is an integer number (11742192).

Almost surely, 2^360078432 is an apocalyptic number.

360078432 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 360078432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563625216).

360078432 is an abundant number, since it is smaller than the sum of its proper divisors (767172000).

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

360078432 is a wasteful number, since it uses less digits than its factorization.

360078432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23340 (or 23332 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 360078432 is about 18975.7327131260. The cubic root of 360078432 is about 711.4303190459.

The spelling of 360078432 in words is "three hundred sixty million, seventy-eight thousand, four hundred thirty-two".