49104000 has 384 divisors, whose sum is σ = 198581760. Its totient is φ = 11520000.

The previous prime is 49103983. The next prime is 49104001. The reversal of 49104000 is 40194.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49104000² = 4822405632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (49104001) 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, 1583985 + ... + 1584015.

It is an arithmetic number, because the mean of its divisors is an integer number (517140).

Almost surely, 2^49104000 is an apocalyptic number.

49104000 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 49104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290880).

49104000 is an abundant number, since it is smaller than the sum of its proper divisors (149477760).

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

49104000 is a wasteful number, since it uses less digits than its factorization.

49104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 49104000 is about 7007.4246339151. The cubic root of 49104000 is about 366.1892777136.

Adding to 49104000 its reverse (40194), we get a palindrome (49144194).

The spelling of 49104000 in words is "forty-nine million, one hundred four thousand".