359957040 has 160 divisors (see below), whose sum is σ = 1155301056. Its totient is φ = 92651520.

The previous prime is 359957023. The next prime is 359957051. The reversal of 359957040 is 40759953.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 359956983 and 359957001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544764 + ... + 1544996.

Almost surely, 2^359957040 is an apocalyptic number.

359957040 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 359957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577650528).

359957040 is an abundant number, since it is smaller than the sum of its proper divisors (795344016).

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

359957040 is a wasteful number, since it uses less digits than its factorization.

359957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 359957040 is about 18972.5338318317. The cubic root of 359957040 is about 711.3503627101.

The spelling of 359957040 in words is "three hundred fifty-nine million, nine hundred fifty-seven thousand, forty".