307040400 has 360 divisors, whose sum is σ = 1173842280. Its totient is φ = 73973760.

The previous prime is 307040387. The next prime is 307040401. The reversal of 307040400 is 4040703.

It can be written as a sum of positive squares in 12 ways, for example, as 5531904 + 301508496 = 2352^2 + 17364^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (307040401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1774714 + ... + 1774886.

It is an arithmetic number, because the mean of its divisors is an integer number (3260673).

Almost surely, 2^307040400 is an apocalyptic number.

307040400 is a gapful number since it is divisible by the number (30) 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 307040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586921140).

307040400 is an abundant number, since it is smaller than the sum of its proper divisors (866801880).

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

307040400 is a wasteful number, since it uses less digits than its factorization.

307040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 307040400 is about 17522.5683049033. The cubic root of 307040400 is about 674.6292614325.

The spelling of 307040400 in words is "three hundred seven million, forty thousand, four hundred".