360434640 has 40 divisors (see below), whose sum is σ = 1117348128. Its totient is φ = 96115840.

The previous prime is 360434623. The next prime is 360434647. The reversal of 360434640 is 46434063.

360434640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 360434598 and 360434607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360434647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750666 + ... + 751145.

Almost surely, 2^360434640 is an apocalyptic number.

360434640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360434640 is an abundant number, since it is smaller than the sum of its proper divisors (756913488).

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

360434640 is a wasteful number, since it uses less digits than its factorization.

360434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501827 (or 1501821 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 360434640 is about 18985.1162756513. The cubic root of 360434640 is about 711.6648361492.

The spelling of 360434640 in words is "three hundred sixty million, four hundred thirty-four thousand, six hundred forty".