49461408 has 192 divisors, whose sum is σ = 159667200. Its totient is φ = 14826240.

The previous prime is 49461407. The next prime is 49461413. The reversal of 49461408 is 80416494.

It is a happy number.

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 (49461403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377503 + ... + 377633.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^49461408 is an apocalyptic number.

49461408 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 49461408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

49461408 is an abundant number, since it is smaller than the sum of its proper divisors (110205792).

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

49461408 is a wasteful number, since it uses less digits than its factorization.

49461408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49461408 is about 7032.8804909511. The cubic root of 49461408 is about 367.0755783337.

The spelling of 49461408 in words is "forty-nine million, four hundred sixty-one thousand, four hundred eight".