361248000 has 288 divisors, whose sum is σ = 1239743232. Its totient is φ = 93184000.

The previous prime is 361247993. The next prime is 361248037. The reversal of 361248000 is 842163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5087965 + ... + 5088035.

It is an arithmetic number, because the mean of its divisors is an integer number (4304664).

Almost surely, 2^361248000 is an apocalyptic number.

361248000 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 361248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619871616).

361248000 is an abundant number, since it is smaller than the sum of its proper divisors (878495232).

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

361248000 is an equidigital number, since it uses as much as digits as its factorization.

361248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 361248000 is about 19006.5251953112. The cubic root of 361248000 is about 712.1997503769.

The spelling of 361248000 in words is "three hundred sixty-one million, two hundred forty-eight thousand".