30205464 has 64 divisors (see below), whose sum is σ = 80857440. Its totient is φ = 9369600.

The previous prime is 30205451. The next prime is 30205489. The reversal of 30205464 is 46450203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40842 + ... + 41574.

Almost surely, 2^30205464 is an apocalyptic number.

30205464 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 30205464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40428720).

30205464 is an abundant number, since it is smaller than the sum of its proper divisors (50651976).

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

30205464 is a wasteful number, since it uses less digits than its factorization.

30205464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 30205464 is about 5495.9497814300. The cubic root of 30205464 is about 311.4309977727.

Adding to 30205464 its reverse (46450203), we get a palindrome (76655667).

The spelling of 30205464 in words is "thirty million, two hundred five thousand, four hundred sixty-four".