30989400 has 192 divisors, whose sum is σ = 107805600. Its totient is φ = 7311360.

The previous prime is 30989393. The next prime is 30989407. The reversal of 30989400 is 498903.

30989400 = T₂₆₄ + T₂₆₅ + ... + T₅₈₈.

It is an interprime number because it is at equal distance from previous prime (30989393) and next prime (30989407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30989407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226132 + ... + 226268.

Almost surely, 2^30989400 is an apocalyptic number.

30989400 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 30989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902800).

30989400 is an abundant number, since it is smaller than the sum of its proper divisors (76816200).

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

30989400 is a wasteful number, since it uses less digits than its factorization.

30989400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 30989400 is about 5566.8123733426. The cubic root of 30989400 is about 314.1022561736.

The spelling of 30989400 in words is "thirty million, nine hundred eighty-nine thousand, four hundred".