360829840 has 160 divisors (see below), whose sum is σ = 995650560. Its totient is φ = 119066112.

The previous prime is 360829837. The next prime is 360829841. The reversal of 360829840 is 48928063.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 360829793 and 360829802.

It is not an unprimeable number, because it can be changed into a prime (360829841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213599 + ... + 2213761.

It is an arithmetic number, because the mean of its divisors is an integer number (6222816).

Almost surely, 2^360829840 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 360829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497825280).

360829840 is an abundant number, since it is smaller than the sum of its proper divisors (634820720).

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

360829840 is a wasteful number, since it uses less digits than its factorization.

360829840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 360829840 is about 18995.5215774666. The cubic root of 360829840 is about 711.9248437272.

The spelling of 360829840 in words is "three hundred sixty million, eight hundred twenty-nine thousand, eight hundred forty".