307212480 has 336 divisors, whose sum is σ = 1150132320. Its totient is φ = 77137920.

The previous prime is 307212461. The next prime is 307212481. The reversal of 307212480 is 84212703.

It is a super-3 number, since 3×307212480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (307212481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8303022 + ... + 8303058.

Almost surely, 2^307212480 is an apocalyptic number.

307212480 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 307212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575066160).

307212480 is an abundant number, since it is smaller than the sum of its proper divisors (842919840).

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

307212480 is a wasteful number, since it uses less digits than its factorization.

307212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 307212480 is about 17527.4778562119. The cubic root of 307212480 is about 674.7552693049.

The spelling of 307212480 in words is "three hundred seven million, two hundred twelve thousand, four hundred eighty".