306506040 has 64 divisors (see below), whose sum is σ = 922937760. Its totient is φ = 81431040.

The previous prime is 306506023. The next prime is 306506041. The reversal of 306506040 is 40605603.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 306506040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306506041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28630 + ... + 37850.

Almost surely, 2^306506040 is an apocalyptic number.

306506040 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 306506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461468880).

306506040 is an abundant number, since it is smaller than the sum of its proper divisors (616431720).

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

306506040 is a wasteful number, since it uses less digits than its factorization.

306506040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 306506040 is about 17507.3139001961. The cubic root of 306506040 is about 674.2376688554.

The spelling of 306506040 in words is "three hundred six million, five hundred six thousand, forty".