359972540 has 48 divisors (see below), whose sum is σ = 790594560. Its totient is φ = 137417280.

The previous prime is 359972539. The next prime is 359972549. The reversal of 359972540 is 45279953.

It is a junction number, because it is equal to n+sod(n) for n = 359972491 and 359972500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359972549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394685 + ... + 395595.

It is an arithmetic number, because the mean of its divisors is an integer number (16470720).

Almost surely, 2^359972540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359972540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395297280).

359972540 is an abundant number, since it is smaller than the sum of its proper divisors (430622020).

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

359972540 is a wasteful number, since it uses less digits than its factorization.

359972540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The square root of 359972540 is about 18972.9423126725. The cubic root of 359972540 is about 711.3605729770.

The spelling of 359972540 in words is "three hundred fifty-nine million, nine hundred seventy-two thousand, five hundred forty".