30540400 has 90 divisors (see below), whose sum is σ = 80777816. Its totient is φ = 11088000.

The previous prime is 30540371. The next prime is 30540401. The reversal of 30540400 is 404503.

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 (30540401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48085 + ... + 48715.

Almost surely, 2^30540400 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 30540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40388908).

30540400 is an abundant number, since it is smaller than the sum of its proper divisors (50237416).

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

30540400 is a wasteful number, since it uses less digits than its factorization.

30540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 30540400 is about 5526.3369423154. The cubic root of 30540400 is about 312.5778792565.

Adding to 30540400 its reverse (404503), we get a palindrome (30944903).

The spelling of 30540400 in words is "thirty million, five hundred forty thousand, four hundred".