49067200 has 168 divisors, whose sum is σ = 149039072. Its totient is φ = 15482880.

The previous prime is 49067197. The next prime is 49067209. The reversal of 49067200 is 276094.

It is a super-3 number, since 3×49067200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (49067209) 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, 145432 + ... + 145768.

Almost surely, 2^49067200 is an apocalyptic number.

49067200 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 49067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74519536).

49067200 is an abundant number, since it is smaller than the sum of its proper divisors (99971872).

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

49067200 is a wasteful number, since it uses less digits than its factorization.

49067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 49067200 is about 7004.7983554132. The cubic root of 49067200 is about 366.0977771352.

The spelling of 49067200 in words is "forty-nine million, sixty-seven thousand, two hundred".