49810800 has 240 divisors, whose sum is σ = 179099648. Its totient is φ = 11750400.

The previous prime is 49810781. The next prime is 49810811. The reversal of 49810800 is 801894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×49810800² = 4962231593280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483549 + ... + 483651.

Almost surely, 2^49810800 is an apocalyptic number.

49810800 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 49810800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89549824).

49810800 is an abundant number, since it is smaller than the sum of its proper divisors (129288848).

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

49810800 is a wasteful number, since it uses less digits than its factorization.

49810800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 49810800 is about 7057.6766715400. The cubic root of 49810800 is about 367.9378833404.

The spelling of 49810800 in words is "forty-nine million, eight hundred ten thousand, eight hundred".