30460672 has 72 divisors (see below), whose sum is σ = 68801040. Its totient is φ = 13332480.

The previous prime is 30460649. The next prime is 30460687. The reversal of 30460672 is 27606403.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30460672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81478 + ... + 81850.

It is an arithmetic number, because the mean of its divisors is an integer number (955570).

Almost surely, 2^30460672 is an apocalyptic number.

30460672 is a gapful number since it is divisible by the number (32) 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 30460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34400520).

30460672 is an abundant number, since it is smaller than the sum of its proper divisors (38340368).

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

30460672 is a wasteful number, since it uses less digits than its factorization.

30460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 30460672 is about 5519.1187702386. The cubic root of 30460672 is about 312.3056395686.

The spelling of 30460672 in words is "thirty million, four hundred sixty thousand, six hundred seventy-two".