49041600 has 168 divisors, whose sum is σ = 170645328. Its totient is φ = 12288000.

The previous prime is 49041593. The next prime is 49041611. The reversal of 49041600 is 614094.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81300 + ... + 81900.

It is an arithmetic number, because the mean of its divisors is an integer number (1015746).

Almost surely, 2^49041600 is an apocalyptic number.

49041600 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 49041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85322664).

49041600 is an abundant number, since it is smaller than the sum of its proper divisors (121603728).

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

49041600 is a wasteful number, since it uses less digits than its factorization.

49041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49041600 is about 7002.9707981684. The cubic root of 49041600 is about 366.0340975728.

Adding to 49041600 its reverse (614094), we get a palindrome (49655694).

The spelling of 49041600 in words is "forty-nine million, forty-one thousand, six hundred".