307116480 has 224 divisors, whose sum is σ = 1076797440. Its totient is φ = 73543680.

The previous prime is 307116463. The next prime is 307116487. The reversal of 307116480 is 84611703.

It is a happy number.

It is a super-3 number, since 3×307116480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307116487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341006 + ... + 1341234.

Almost surely, 2^307116480 is an apocalyptic number.

307116480 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 307116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538398720).

307116480 is an abundant number, since it is smaller than the sum of its proper divisors (769680960).

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

307116480 is a wasteful number, since it uses less digits than its factorization.

307116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 307116480 is about 17524.7390850763. The cubic root of 307116480 is about 674.6849778307.

The spelling of 307116480 in words is "three hundred seven million, one hundred sixteen thousand, four hundred eighty".