304950085440 has 1344 divisors, whose sum is σ = 1387697536512. Its totient is φ = 55018782720.

The previous prime is 304950085403. The next prime is 304950085507. The reversal of 304950085440 is 44580059403.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 304950085392 and 304950085401.

It is a congruent number.

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, 179698672 + ... + 179700368.

It is an arithmetic number, because the mean of its divisors is an integer number (1032513048).

Almost surely, 2^304950085440 is an apocalyptic number.

304950085440 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 304950085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693848768256).

304950085440 is an abundant number, since it is smaller than the sum of its proper divisors (1082747451072).

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

304950085440 is a wasteful number, since it uses less digits than its factorization.

304950085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 304950085440 in words is "three hundred four billion, nine hundred fifty million, eighty-five thousand, four hundred forty".