30413400 has 96 divisors (see below), whose sum is σ = 95150160. Its totient is φ = 8035840.

The previous prime is 30413393. The next prime is 30413401. The reversal of 30413400 is 431403.

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 30413400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30413401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103654 + ... + 103946.

Almost surely, 2^30413400 is an apocalyptic number.

30413400 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 30413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47575080).

30413400 is an abundant number, since it is smaller than the sum of its proper divisors (64736760).

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

30413400 is a wasteful number, since it uses less digits than its factorization.

30413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30413400 is about 5514.8345396757. The cubic root of 30413400 is about 312.1439999320.

Adding to 30413400 its reverse (431403), we get a palindrome (30844803).

It can be divided in two parts, 3041 and 3400, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 30413400 in words is "thirty million, four hundred thirteen thousand, four hundred".