1395901200 has 60 divisors (see below), whose sum is σ = 4471540688. Its totient is φ = 372240000.

The previous prime is 1395901159. The next prime is 1395901207. The reversal of 1395901200 is 21095931.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1395901200² = 3897080320322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1395901207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 580426 + ... + 582825.

Almost surely, 2^1395901200 is an apocalyptic number.

1395901200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395901200 is an abundant number, since it is smaller than the sum of its proper divisors (3075639488).

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

1395901200 is a wasteful number, since it uses less digits than its factorization.

1395901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163272 (or 1163261 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 1395901200 is about 37361.7612004573. The cubic root of 1395901200 is about 1117.5961410511.

The spelling of 1395901200 in words is "one billion, three hundred ninety-five million, nine hundred one thousand, two hundred".