49809600 has 168 divisors, whose sum is σ = 181731920. Its totient is φ = 13271040.

The previous prime is 49809581. The next prime is 49809619. The reversal of 49809600 is 690894.

49809600 is a `hidden beast` number, since 49 + 8 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (49809581) and next prime (49809619).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42624 + ... + 43776.

Almost surely, 2^49809600 is an apocalyptic number.

49809600 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 49809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90865960).

49809600 is an abundant number, since it is smaller than the sum of its proper divisors (131922320).

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

49809600 is a wasteful number, since it uses less digits than its factorization.

49809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49809600 is about 7057.5916572157. The cubic root of 49809600 is about 367.9349286331.

The spelling of 49809600 in words is "forty-nine million, eight hundred nine thousand, six hundred".