30429864 has 64 divisors (see below), whose sum is σ = 89510400. Its totient is φ = 9545472.

The previous prime is 30429863. The next prime is 30429869. The reversal of 30429864 is 46892403.

It is a happy number.

30429864 is a `hidden beast` number, since 304 + 298 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30429863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472 + ... + 7815.

It is an arithmetic number, because the mean of its divisors is an integer number (1398600).

Almost surely, 2^30429864 is an apocalyptic number.

30429864 is a gapful number since it is divisible by the number (34) 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 30429864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44755200).

30429864 is an abundant number, since it is smaller than the sum of its proper divisors (59080536).

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

30429864 is a wasteful number, since it uses less digits than its factorization.

30429864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30429864 is about 5516.3270388910. The cubic root of 30429864 is about 312.2003151500.

The spelling of 30429864 in words is "thirty million, four hundred twenty-nine thousand, eight hundred sixty-four".