1285977600 has 360 divisors, whose sum is σ = 4798811160. Its totient is φ = 337305600.

The previous prime is 1285977599. The next prime is 1285977607. The reversal of 1285977600 is 67795821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285977607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21081570 + ... + 21081630.

It is an arithmetic number, because the mean of its divisors is an integer number (13330031).

Almost surely, 2^1285977600 is an apocalyptic number.

1285977600 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 1285977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399405580).

1285977600 is an abundant number, since it is smaller than the sum of its proper divisors (3512833560).

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

1285977600 is an frugal number, since it uses more digits than its factorization.

1285977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1285977600 is about 35860.5298343457. The cubic root of 1285977600 is about 1087.4545997694.

The spelling of 1285977600 in words is "one billion, two hundred eighty-five million, nine hundred seventy-seven thousand, six hundred".