1307030400 has 288 divisors, whose sum is σ = 5023975320. Its totient is φ = 321638400.

The previous prime is 1307030399. The next prime is 1307030441. The reversal of 1307030400 is 40307031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372655 + ... + 376145.

Almost surely, 2^1307030400 is an apocalyptic number.

1307030400 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 1307030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511987660).

1307030400 is an abundant number, since it is smaller than the sum of its proper divisors (3716944920).

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

1307030400 is a wasteful number, since it uses less digits than its factorization.

1307030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1307030400 is about 36152.8754043160. The cubic root of 1307030400 is about 1093.3567646509.

Adding to 1307030400 its reverse (40307031), we get a palindrome (1347337431).

The spelling of 1307030400 in words is "one billion, three hundred seven million, thirty thousand, four hundred".