30946440 has 192 divisors, whose sum is σ = 114091200. Its totient is φ = 6676992.

The previous prime is 30946439. The next prime is 30946441. The reversal of 30946440 is 4464903.

It is an interprime number because it is at equal distance from previous prime (30946439) and next prime (30946441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30946398 and 30946407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30946441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111582 + ... + 111858.

It is an arithmetic number, because the mean of its divisors is an integer number (594225).

Almost surely, 2^30946440 is an apocalyptic number.

30946440 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 30946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57045600).

30946440 is an abundant number, since it is smaller than the sum of its proper divisors (83144760).

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

30946440 is a wasteful number, since it uses less digits than its factorization.

30946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 30946440 is about 5562.9524535088. The cubic root of 30946440 is about 313.9570444437.

The spelling of 30946440 in words is "thirty million, nine hundred forty-six thousand, four hundred forty".