1365430400 has 48 divisors (see below), whose sum is σ = 3373047690. Its totient is φ = 546170880.

The previous prime is 1365430399. The next prime is 1365430411. The reversal of 1365430400 is 40345631.

It can be written as a sum of positive squares in 3 ways, for example, as 1185011776 + 180418624 = 34424^2 + 13432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1365430400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210149 + ... + 216548.

Almost surely, 2^1365430400 is an apocalyptic number.

1365430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1365430400 is an abundant number, since it is smaller than the sum of its proper divisors (2007617290).

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

1365430400 is an equidigital number, since it uses as much as digits as its factorization.

1365430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426721 (or 426704 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1365430400 is about 36951.7306766544. The cubic root of 1365430400 is about 1109.4043282863.

The spelling of 1365430400 in words is "one billion, three hundred sixty-five million, four hundred thirty thousand, four hundred".