49430400 has 192 divisors, whose sum is σ = 172012800. Its totient is φ = 12441600.

The previous prime is 49430393. The next prime is 49430411. The reversal of 49430400 is 403494.

49430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 182265 + ... + 182535.

It is an arithmetic number, because the mean of its divisors is an integer number (895900).

Almost surely, 2^49430400 is an apocalyptic number.

49430400 is a gapful number since it is divisible by the number (40) 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 49430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86006400).

49430400 is an abundant number, since it is smaller than the sum of its proper divisors (122582400).

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

49430400 is a wasteful number, since it uses less digits than its factorization.

49430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 49430400 is about 7030.6756432081. The cubic root of 49430400 is about 366.9988541468.

Adding to 49430400 its reverse (403494), we get a palindrome (49833894).

The spelling of 49430400 in words is "forty-nine million, four hundred thirty thousand, four hundred".