30162400 has 72 divisors (see below), whose sum is σ = 75698280. Its totient is φ = 11727360.

The previous prime is 30162389. The next prime is 30162409. The reversal of 30162400 is 426103.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30162409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29091 + ... + 30109.

It is an arithmetic number, because the mean of its divisors is an integer number (1051365).

Almost surely, 2^30162400 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 30162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37849140).

30162400 is an abundant number, since it is smaller than the sum of its proper divisors (45535880).

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

30162400 is a wasteful number, since it uses less digits than its factorization.

30162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 30162400 is about 5492.0305898638. The cubic root of 30162400 is about 311.2829247494.

Adding to 30162400 its reverse (426103), we get a palindrome (30588503).

The spelling of 30162400 in words is "thirty million, one hundred sixty-two thousand, four hundred".