30464400 has 120 divisors (see below), whose sum is σ = 99636480. Its totient is φ = 7953920.

The previous prime is 30464389. The next prime is 30464411. The reversal of 30464400 is 446403.

It is an interprime number because it is at equal distance from previous prime (30464389) and next prime (30464411).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63361 + ... + 63839.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 2^30464400 is an apocalyptic number.

30464400 is a gapful number since it is divisible by the number (30) 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 30464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49818240).

30464400 is an abundant number, since it is smaller than the sum of its proper divisors (69172080).

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

30464400 is a wasteful number, since it uses less digits than its factorization.

30464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 30464400 is about 5519.4564949821. The cubic root of 30464400 is about 312.3183797989.

The spelling of 30464400 in words is "thirty million, four hundred sixty-four thousand, four hundred".