49046400 has 288 divisors, whose sum is σ = 189909720. Its totient is φ = 11980800.

The previous prime is 49046383. The next prime is 49046441. The reversal of 49046400 is 464094.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374335 + ... + 374465.

Almost surely, 2^49046400 is an apocalyptic number.

49046400 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 49046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94954860).

49046400 is an abundant number, since it is smaller than the sum of its proper divisors (140863320).

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

49046400 is a wasteful number, since it uses less digits than its factorization.

49046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 49046400 is about 7003.3135014791. The cubic root of 49046400 is about 366.0460391785.

The spelling of 49046400 in words is "forty-nine million, forty-six thousand, four hundred".