305660040 has 192 divisors, whose sum is σ = 1076068800. Its totient is φ = 69253632.

The previous prime is 305660023. The next prime is 305660077. The reversal of 305660040 is 40066503.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334646 + ... + 1334874.

It is an arithmetic number, because the mean of its divisors is an integer number (5604525).

Almost surely, 2^305660040 is an apocalyptic number.

305660040 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 305660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538034400).

305660040 is an abundant number, since it is smaller than the sum of its proper divisors (770408760).

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

305660040 is a wasteful number, since it uses less digits than its factorization.

305660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

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

The square root of 305660040 is about 17483.1358743219. The cubic root of 305660040 is about 673.6167668186.

The spelling of 305660040 in words is "three hundred five million, six hundred sixty thousand, forty".