359429040 has 120 divisors (see below), whose sum is σ = 1229988240. Its totient is φ = 94029312.

The previous prime is 359429033. The next prime is 359429041. The reversal of 359429040 is 40924953.

359429040 is a `hidden beast` number, since 3 + 594 + 29 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 359428986 and 359429004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359429041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33451 + ... + 42869.

It is an arithmetic number, because the mean of its divisors is an integer number (10249902).

Almost surely, 2^359429040 is an apocalyptic number.

359429040 is a gapful number since it is divisible by the number (30) 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 359429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614994120).

359429040 is an abundant number, since it is smaller than the sum of its proper divisors (870559200).

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

359429040 is a wasteful number, since it uses less digits than its factorization.

359429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9491 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 359429040 is about 18958.6138733822. The cubic root of 359429040 is about 711.0023797151.

The spelling of 359429040 in words is "three hundred fifty-nine million, four hundred twenty-nine thousand, forty".