49462800 has 120 divisors (see below), whose sum is σ = 162001536. Its totient is φ = 12894720.

The previous prime is 49462793. The next prime is 49462807. The reversal of 49462800 is 826494.

49462800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49462793) and next prime (49462807).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (49462807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55962 + ... + 56838.

Almost surely, 2^49462800 is an apocalyptic number.

49462800 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 49462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81000768).

49462800 is an abundant number, since it is smaller than the sum of its proper divisors (112538736).

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

49462800 is a wasteful number, since it uses less digits than its factorization.

49462800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 49462800 is about 7032.9794539725. The cubic root of 49462800 is about 367.0790218562.

The spelling of 49462800 in words is "forty-nine million, four hundred sixty-two thousand, eight hundred".