49545600 has 192 divisors, whose sum is σ = 176186640. Its totient is φ = 12165120.

The previous prime is 49545581. The next prime is 49545607. The reversal of 49545600 is 654594.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49545607) 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, 124602 + ... + 124998.

Almost surely, 2^49545600 is an apocalyptic number.

49545600 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 49545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88093320).

49545600 is an abundant number, since it is smaller than the sum of its proper divisors (126641040).

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

49545600 is a wasteful number, since it uses less digits than its factorization.

49545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 49545600 is about 7038.8635446356. The cubic root of 49545600 is about 367.2837359644.

The spelling of 49545600 in words is "forty-nine million, five hundred forty-five thousand, six hundred".