30975480 has 256 divisors, whose sum is σ = 114048000. Its totient is φ = 7451136.

The previous prime is 30975463. The next prime is 30975481. The reversal of 30975480 is 8457903.

It is a super-2 number, since 2×30975480² = 1918960722460800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30975481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720339 + ... + 720381.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 2^30975480 is an apocalyptic number.

30975480 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 30975480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57024000).

30975480 is an abundant number, since it is smaller than the sum of its proper divisors (83072520).

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

30975480 is a wasteful number, since it uses less digits than its factorization.

30975480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 30975480 is about 5565.5619662349. The cubic root of 30975480 is about 314.0552190337.

The spelling of 30975480 in words is "thirty million, nine hundred seventy-five thousand, four hundred eighty".