1200471360 has 224 divisors, whose sum is σ = 4213555200. Its totient is φ = 287139840.

The previous prime is 1200471353. The next prime is 1200471367. The reversal of 1200471360 is 631740021.

It is an interprime number because it is at equal distance from previous prime (1200471353) and next prime (1200471367).

It is a super-2 number, since 2×1200471360² = 2882262972360499200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1200471360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200471367) 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, 833521 + ... + 834959.

Almost surely, 2^1200471360 is an apocalyptic number.

1200471360 is a gapful number since it is divisible by the number (10) 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 1200471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106777600).

1200471360 is an abundant number, since it is smaller than the sum of its proper divisors (3013083840).

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

1200471360 is a wasteful number, since it uses less digits than its factorization.

1200471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1200471360 is about 34647.8189789776. The cubic root of 1200471360 is about 1062.7976883975.

The spelling of 1200471360 in words is "one billion, two hundred million, four hundred seventy-one thousand, three hundred sixty".