30049920 has 256 divisors, whose sum is σ = 111628800. Its totient is φ = 7630848.

The previous prime is 30049913. The next prime is 30049961. The reversal of 30049920 is 2994003.

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 31 ways as a sum of consecutive naturals, for example, 639337 + ... + 639383.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^30049920 is an apocalyptic number.

30049920 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 30049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814400).

30049920 is an abundant number, since it is smaller than the sum of its proper divisors (81578880).

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

30049920 is a wasteful number, since it uses less digits than its factorization.

30049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30049920 is about 5481.7807325722. The cubic root of 30049920 is about 310.8955029177.

The spelling of 30049920 in words is "thirty million, forty-nine thousand, nine hundred twenty".