49209408 has 84 divisors (see below), whose sum is σ = 144924780. Its totient is φ = 15952896.

The previous prime is 49209401. The next prime is 49209409. The reversal of 49209408 is 80490294.

It is a happy number.

49209408 is a `hidden beast` number, since 49 + 209 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 6594624 = 6528^2 + 2568^2 .

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 (49209401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20158 + ... + 22466.

It is an arithmetic number, because the mean of its divisors is an integer number (1725295).

Almost surely, 2^49209408 is an apocalyptic number.

49209408 is a gapful number since it is divisible by the number (48) 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 49209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72462390).

49209408 is an abundant number, since it is smaller than the sum of its proper divisors (95715372).

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

49209408 is a wasteful number, since it uses less digits than its factorization.

49209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49209408 is about 7014.9417673991. The cubic root of 49209408 is about 366.4511144469.

The spelling of 49209408 in words is "forty-nine million, two hundred nine thousand, four hundred eight".