1285958400 has 108 divisors (see below), whose sum is σ = 4243993992. Its totient is φ = 342917120.

The previous prime is 1285958389. The next prime is 1285958411. The reversal of 1285958400 is 48595821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1285958389) and next prime (1285958411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14289 + ... + 52688.

Almost surely, 2^1285958400 is an apocalyptic number.

1285958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1285958400 is an abundant number, since it is smaller than the sum of its proper divisors (2958035592).

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

1285958400 is an equidigital number, since it uses as much as digits as its factorization.

1285958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67006 (or 66987 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 1285958400 is about 35860.2621295495. The cubic root of 1285958400 is about 1087.4491877435.

The spelling of 1285958400 in words is "one billion, two hundred eighty-five million, nine hundred fifty-eight thousand, four hundred".