306432778050 has 384 divisors, whose sum is σ = 1017620582400. Its totient is φ = 66237212160.

The previous prime is 306432778039. The next prime is 306432778063. The reversal of 306432778050 is 50877234603.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 306432777987 and 306432778005.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133404502 + ... + 133406798.

It is an arithmetic number, because the mean of its divisors is an integer number (2650053600).

Almost surely, 2^306432778050 is an apocalyptic number.

306432778050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 306432778050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508810291200).

306432778050 is an abundant number, since it is smaller than the sum of its proper divisors (711187804350).

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

306432778050 is a wasteful number, since it uses less digits than its factorization.

306432778050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 306432778050 in words is "three hundred six billion, four hundred thirty-two million, seven hundred seventy-eight thousand, fifty".