361225440 has 96 divisors (see below), whose sum is σ = 1264304160. Its totient is φ = 96325632.

The previous prime is 361225433. The next prime is 361225453. The reversal of 361225440 is 44522163.

361225440 is a `hidden beast` number, since 3 + 612 + 2 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37489 + ... + 46128.

It is an arithmetic number, because the mean of its divisors is an integer number (13169835).

Almost surely, 2^361225440 is an apocalyptic number.

361225440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361225440 is an abundant number, since it is smaller than the sum of its proper divisors (903078720).

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

361225440 is a wasteful number, since it uses less digits than its factorization.

361225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83641 (or 83627 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 361225440 is about 19005.9317056544. The cubic root of 361225440 is about 712.1849244024.

The spelling of 361225440 in words is "three hundred sixty-one million, two hundred twenty-five thousand, four hundred forty".