30505464 has 128 divisors (see below), whose sum is σ = 95212800. Its totient is φ = 8968320.

The previous prime is 30505421. The next prime is 30505481. The reversal of 30505464 is 46450503.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87739 + ... + 88085.

It is an arithmetic number, because the mean of its divisors is an integer number (743850).

Almost surely, 2^30505464 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 30505464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47606400).

30505464 is an abundant number, since it is smaller than the sum of its proper divisors (64707336).

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

30505464 is a wasteful number, since it uses less digits than its factorization.

30505464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 30505464 is about 5523.1751737565. The cubic root of 30505464 is about 312.4586449808.

Adding to 30505464 its reverse (46450503), we get a palindrome (76955967).

The spelling of 30505464 in words is "thirty million, five hundred five thousand, four hundred sixty-four".