30400992 has 72 divisors (see below), whose sum is σ = 86990904. Its totient is φ = 10070784.

The previous prime is 30400973. The next prime is 30400999. The reversal of 30400992 is 29900403.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30400999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81318 + ... + 81690.

It is an arithmetic number, because the mean of its divisors is an integer number (1208207).

Almost surely, 2^30400992 is an apocalyptic number.

30400992 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 30400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43495452).

30400992 is an abundant number, since it is smaller than the sum of its proper divisors (56589912).

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

30400992 is a wasteful number, since it uses less digits than its factorization.

30400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 661 counting only the distinct ones).

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

The square root of 30400992 is about 5513.7094591572. The cubic root of 30400992 is about 312.1015448565.

The spelling of 30400992 in words is "thirty million, four hundred thousand, nine hundred ninety-two".