361025280 has 648 divisors, whose sum is σ = 1611538656. Its totient is φ = 72990720.

The previous prime is 361025261. The next prime is 361025281. The reversal of 361025280 is 82520163.

361025280 = 2535² + 2536² + ... + 2589².

361025280 is a `hidden beast` number, since 3 + 610 + 25 + 28 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361025281) 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 71 ways as a sum of consecutive naturals, for example, 9757422 + ... + 9757458.

Almost surely, 2^361025280 is an apocalyptic number.

361025280 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 361025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805769328).

361025280 is an abundant number, since it is smaller than the sum of its proper divisors (1250513376).

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

361025280 is a wasteful number, since it uses less digits than its factorization.

361025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 361025280 is about 19000.6652515116. The cubic root of 361025280 is about 712.0533562674.

The spelling of 361025280 in words is "three hundred sixty-one million, twenty-five thousand, two hundred eighty".