359959140 has 60 divisors (see below), whose sum is σ = 1129210236. Its totient is φ = 95988672.

The previous prime is 359959133. The next prime is 359959141. The reversal of 359959140 is 41959953.

It is a happy number.

359959140 is a `hidden beast` number, since 3 + 59 + 9 + 591 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 240188004 + 119771136 = 15498^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (359959141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109479 + ... + 112718.

Almost surely, 2^359959140 is an apocalyptic number.

359959140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359959140 is an abundant number, since it is smaller than the sum of its proper divisors (769251096).

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

359959140 is a wasteful number, since it uses less digits than its factorization.

359959140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222218 (or 222207 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 359959140 is about 18972.5891749123. The cubic root of 359959140 is about 711.3517460537.

The spelling of 359959140 in words is "three hundred fifty-nine million, nine hundred fifty-nine thousand, one hundred forty".