305874540 has 144 divisors (see below), whose sum is σ = 1034298720. Its totient is φ = 72714240.

The previous prime is 305874533. The next prime is 305874563. The reversal of 305874540 is 45478503.

305874540 is a `hidden beast` number, since 30 + 5 + 87 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 305874495 and 305874504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55510 + ... + 60770.

It is an arithmetic number, because the mean of its divisors is an integer number (7182630).

Almost surely, 2^305874540 is an apocalyptic number.

305874540 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 305874540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517149360).

305874540 is an abundant number, since it is smaller than the sum of its proper divisors (728424180).

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

305874540 is a wasteful number, since it uses less digits than its factorization.

305874540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 305874540 is about 17489.2692814766. The cubic root of 305874540 is about 673.7743024153.

The spelling of 305874540 in words is "three hundred five million, eight hundred seventy-four thousand, five hundred forty".