49153600 has 84 divisors (see below), whose sum is σ = 124976128. Its totient is φ = 19008000.

The previous prime is 49153571. The next prime is 49153603. The reversal of 49153600 is 635194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49153603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49105 + ... + 50095.

Almost surely, 2^49153600 is an apocalyptic number.

49153600 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 49153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62488064).

49153600 is an abundant number, since it is smaller than the sum of its proper divisors (75822528).

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

49153600 is a wasteful number, since it uses less digits than its factorization.

49153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 49153600 is about 7010.9628440037. The cubic root of 49153600 is about 366.3125322762.

Adding to 49153600 its reverse (635194), we get a palindrome (49788794).

It can be divided in two parts, 4915 and 3600, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 49153600 in words is "forty-nine million, one hundred fifty-three thousand, six hundred".