305363040 has 96 divisors (see below), whose sum is σ = 995107680. Its totient is φ = 78618624.

The previous prime is 305363029. The next prime is 305363053. The reversal of 305363040 is 40363503.

It is a tau number, because it is divible by the number of its divisors (96).

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 305363040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2952 + ... + 24888.

It is an arithmetic number, because the mean of its divisors is an integer number (10365705).

Almost surely, 2^305363040 is an apocalyptic number.

305363040 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 305363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497553840).

305363040 is an abundant number, since it is smaller than the sum of its proper divisors (689744640).

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

305363040 is a wasteful number, since it uses less digits than its factorization.

305363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21984 (or 21976 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 305363040 is about 17474.6399104531. The cubic root of 305363040 is about 673.3985188882.

The spelling of 305363040 in words is "three hundred five million, three hundred sixty-three thousand, forty".