1200390360 has 128 divisors (see below), whose sum is σ = 4082400000. Its totient is φ = 279922176.

The previous prime is 1200390271. The next prime is 1200390377. The reversal of 1200390360 is 630930021.

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 1200390360.

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, 9391 + ... + 49889.

It is an arithmetic number, because the mean of its divisors is an integer number (31893750).

Almost surely, 2^1200390360 is an apocalyptic number.

1200390360 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 1200390360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041200000).

1200390360 is an abundant number, since it is smaller than the sum of its proper divisors (2882009640).

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

1200390360 is a wasteful number, since it uses less digits than its factorization.

1200390360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40545 (or 40541 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1200390360 is about 34646.6500545147. The cubic root of 1200390360 is about 1062.7737843012.

The spelling of 1200390360 in words is "one billion, two hundred million, three hundred ninety thousand, three hundred sixty".