49946400 has 216 divisors, whose sum is σ = 201487104. Its totient is φ = 11404800.

The previous prime is 49946399. The next prime is 49946401. The reversal of 49946400 is 464994.

49946400 is a `hidden beast` number, since 4 + 9 + 9 + 4 + 640 + 0 = 666.

49946400 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 (49946399) and next prime (49946401).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (49946401) 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 35 ways as a sum of consecutive naturals, for example, 49905 + ... + 50895.

Almost surely, 2^49946400 is an apocalyptic number.

49946400 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 49946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100743552).

49946400 is an abundant number, since it is smaller than the sum of its proper divisors (151540704).

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

49946400 is a wasteful number, since it uses less digits than its factorization.

49946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49946400 is about 7067.2767032288. The cubic root of 49946400 is about 368.2714600701.

The spelling of 49946400 in words is "forty-nine million, nine hundred forty-six thousand, four hundred".