30481920 has 360 divisors, whose sum is σ = 127351224. Its totient is φ = 6967296.

The previous prime is 30481907. The next prime is 30481931. The reversal of 30481920 is 2918403.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4354557 + ... + 4354563.

Almost surely, 2^30481920 is an apocalyptic number.

30481920 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 30481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675612).

30481920 is an abundant number, since it is smaller than the sum of its proper divisors (96869304).

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

30481920 is an frugal number, since it uses more digits than its factorization.

30481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30481920 is about 5521.0433796521. The cubic root of 30481920 is about 312.3782394975.

The spelling of 30481920 in words is "thirty million, four hundred eighty-one thousand, nine hundred twenty".