49431600 has 240 divisors, whose sum is σ = 184512000. Its totient is φ = 12545280.

The previous prime is 49431583. The next prime is 49431601. The reversal of 49431600 is 613494.

49431600 = 1455² + 1456² + ... + 1477².

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49431601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248301 + ... + 248499.

It is an arithmetic number, because the mean of its divisors is an integer number (768800).

Almost surely, 2^49431600 is an apocalyptic number.

49431600 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 49431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256000).

49431600 is an abundant number, since it is smaller than the sum of its proper divisors (135080400).

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

49431600 is a wasteful number, since it uses less digits than its factorization.

49431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49431600 is about 7030.7609829947. The cubic root of 49431600 is about 367.0018239459.

It can be divided in two parts, 49 and 431600, that added together give a square (431649 = 657²).

The spelling of 49431600 in words is "forty-nine million, four hundred thirty-one thousand, six hundred".