1395284800 has 378 divisors, whose sum is σ = 4420408482. Its totient is φ = 429649920.

The previous prime is 1395284777. The next prime is 1395284819. The reversal of 1395284800 is 84825931.

It can be written as a sum of positive squares in 9 ways, for example, as 102738496 + 1292546304 = 10136^2 + 35952^2 .

It is a super-2 number, since 2×1395284800² = 3893639346222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 37710382 + ... + 37710418.

Almost surely, 2^1395284800 is an apocalyptic number.

1395284800 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 1395284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210204241).

1395284800 is an abundant number, since it is smaller than the sum of its proper divisors (3025123682).

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

1395284800 is a wasteful number, since it uses less digits than its factorization.

1395284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1395284800 is about 37353.5112138069. The cubic root of 1395284800 is about 1117.4316146779.

The spelling of 1395284800 in words is "one billion, three hundred ninety-five million, two hundred eighty-four thousand, eight hundred".