30412640 has 48 divisors (see below), whose sum is σ = 72947952. Its totient is φ = 11979264.

The previous prime is 30412639. The next prime is 30412649. The reversal of 30412640 is 4621403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30412649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9302 + ... + 12138.

It is an arithmetic number, because the mean of its divisors is an integer number (1519749).

Almost surely, 2^30412640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36473976).

30412640 is an abundant number, since it is smaller than the sum of its proper divisors (42535312).

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

30412640 is a wasteful number, since it uses less digits than its factorization.

30412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 30412640 is about 5514.7656341861. The cubic root of 30412640 is about 312.1413998564.

The spelling of 30412640 in words is "thirty million, four hundred twelve thousand, six hundred forty".