30046464 has 252 divisors, whose sum is σ = 107236416. Its totient is φ = 8211456.

The previous prime is 30046451. The next prime is 30046469. The reversal of 30046464 is 46464003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30046469) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306357 + ... + 1306379.

Almost surely, 2^30046464 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 30046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53618208).

30046464 is an abundant number, since it is smaller than the sum of its proper divisors (77189952).

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

30046464 is an frugal number, since it uses more digits than its factorization.

30046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 30046464 is about 5481.4654974742. The cubic root of 30046464 is about 310.8835839059.

It can be divided in two parts, 300 and 46464, that added together give a palindrome (46764).

The spelling of 30046464 in words is "thirty million, forty-six thousand, four hundred sixty-four".