306540420480 has 384 divisors, whose sum is σ = 1280903906880. Its totient is φ = 65944682496.

The previous prime is 306540420437. The next prime is 306540420499. The reversal of 306540420480 is 84024045603.

306540420480 is a `hidden beast` number, since 30 + 6 + 540 + 4 + 2 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 461832 + ... + 909048.

Almost surely, 2^306540420480 is an apocalyptic number.

306540420480 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 306540420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640451953440).

306540420480 is an abundant number, since it is smaller than the sum of its proper divisors (974363486400).

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

306540420480 is a wasteful number, since it uses less digits than its factorization.

306540420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447266 (or 447251 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 306540420480 in words is "three hundred six billion, five hundred forty million, four hundred twenty thousand, four hundred eighty".