30897456480 has 1440 divisors, whose sum is σ = 135775997280. Its totient is φ = 6569164800.

The previous prime is 30897456437. The next prime is 30897456487. The reversal of 30897456480 is 8465479803.

30897456480 is a `hidden beast` number, since 3 + 0 + 8 + 9 + 74 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30897456487) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 506515650 + ... + 506515710.

It is an arithmetic number, because the mean of its divisors is an integer number (94288887).

Almost surely, 2^30897456480 is an apocalyptic number.

30897456480 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 30897456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67887998640).

30897456480 is an abundant number, since it is smaller than the sum of its proper divisors (104878540800).

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

30897456480 is a wasteful number, since it uses less digits than its factorization.

30897456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 30897456480 in words is "thirty billion, eight hundred ninety-seven million, four hundred fifty-six thousand, four hundred eighty".