361790496 has 48 divisors (see below), whose sum is σ = 1055224800. Its totient is φ = 120596544.

The previous prime is 361790489. The next prime is 361790497. The reversal of 361790496 is 694097163.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (361790497) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 208506 + ... + 210233.

It is an arithmetic number, because the mean of its divisors is an integer number (21983850).

Almost surely, 2^361790496 is an apocalyptic number.

361790496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361790496 is an abundant number, since it is smaller than the sum of its proper divisors (693434304).

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

361790496 is a wasteful number, since it uses less digits than its factorization.

361790496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418758 (or 418744 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 361790496 is about 19020.7911507382. The cubic root of 361790496 is about 712.5560820122.

The spelling of 361790496 in words is "three hundred sixty-one million, seven hundred ninety thousand, four hundred ninety-six".