305402240 has 256 divisors, whose sum is σ = 888330240. Its totient is φ = 98918400.

The previous prime is 305402239. The next prime is 305402249. The reversal of 305402240 is 42204503.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305402249) 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, 4301405 + ... + 4301475.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^305402240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

305402240 is an abundant number, since it is smaller than the sum of its proper divisors (582928000).

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

305402240 is a wasteful number, since it uses less digits than its factorization.

305402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 305402240 is about 17475.7614998603. The cubic root of 305402240 is about 673.4273327797.

Adding to 305402240 its reverse (42204503), we get a palindrome (347606743).

The spelling of 305402240 in words is "three hundred five million, four hundred two thousand, two hundred forty".