305778240 has 280 divisors, whose sum is σ = 1115275392. Its totient is φ = 79488000.

The previous prime is 305778217. The next prime is 305778251. The reversal of 305778240 is 42877503.

305778240 is a `hidden beast` number, since 3 + 0 + 577 + 82 + 4 + 0 = 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 = 305778195 and 305778204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218115 + ... + 1218365.

Almost surely, 2^305778240 is an apocalyptic number.

305778240 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 305778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557637696).

305778240 is an abundant number, since it is smaller than the sum of its proper divisors (809497152).

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

305778240 is a wasteful number, since it uses less digits than its factorization.

305778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 305778240 is about 17486.5159480098. The cubic root of 305778240 is about 673.7035857572.

The spelling of 305778240 in words is "three hundred five million, seven hundred seventy-eight thousand, two hundred forty".