30440400 has 60 divisors (see below), whose sum is σ = 97514592. Its totient is φ = 8117120.

The previous prime is 30440393. The next prime is 30440429. The reversal of 30440400 is 404403.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×30440400³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30440400.

It is a congruent number.

It is an unprimeable number.

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, 11484 + ... + 13883.

Almost surely, 2^30440400 is an apocalyptic number.

30440400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30440400 is an abundant number, since it is smaller than the sum of its proper divisors (67074192).

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

30440400 is a wasteful number, since it uses less digits than its factorization.

30440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25388 (or 25377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30440400 is about 5517.2819395061. The cubic root of 30440400 is about 312.2363429478.

Adding to 30440400 its reverse (404403), we get a palindrome (30844803).

It can be divided in two parts, 304 and 40400, that added together give a palindrome (40704).

The spelling of 30440400 in words is "thirty million, four hundred forty thousand, four hundred".