1350790400 has 54 divisors (see below), whose sum is σ = 3343433142. Its totient is φ = 540313600.

The previous prime is 1350790381. The next prime is 1350790409. The reversal of 1350790400 is 40970531.

It can be written as a sum of positive squares in 3 ways, for example, as 32809984 + 1317980416 = 5728^2 + 36304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350790409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99131 + ... + 111930.

Almost surely, 2^1350790400 is an apocalyptic number.

1350790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350790400 is an abundant number, since it is smaller than the sum of its proper divisors (1992642742).

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

1350790400 is an equidigital number, since it uses as much as digits as its factorization.

1350790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211087 (or 211068 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 1350790400 is about 36753.1005494775. The cubic root of 1350790400 is about 1105.4251007330.

The spelling of 1350790400 in words is "one billion, three hundred fifty million, seven hundred ninety thousand, four hundred".