1392487200 has 864 divisors, whose sum is σ = 5971492800. Its totient is φ = 313528320.

The previous prime is 1392487157. The next prime is 1392487231. The reversal of 1392487200 is 27842931.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48016786 + ... + 48016814.

It is an arithmetic number, because the mean of its divisors is an integer number (6911450).

Almost surely, 2^1392487200 is an apocalyptic number.

1392487200 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 1392487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985746400).

1392487200 is an abundant number, since it is smaller than the sum of its proper divisors (4579005600).

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

1392487200 is a wasteful number, since it uses less digits than its factorization.

1392487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1392487200 is about 37316.0448064904. The cubic root of 1392487200 is about 1116.6842837744.

It can be divided in two parts, 13924 and 87200, that added together give a square (101124 = 318²).

The spelling of 1392487200 in words is "one billion, three hundred ninety-two million, four hundred eighty-seven thousand, two hundred".