49418240 has 104 divisors (see below), whose sum is σ = 125813760. Its totient is φ = 18579456.

The previous prime is 49418231. The next prime is 49418251. The reversal of 49418240 is 4281494.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 49418197 and 49418206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389057 + ... + 389183.

Almost surely, 2^49418240 is an apocalyptic number.

49418240 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 49418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62906880).

49418240 is an abundant number, since it is smaller than the sum of its proper divisors (76395520).

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

49418240 is a wasteful number, since it uses less digits than its factorization.

49418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 49418240 is about 7029.8108082650. The cubic root of 49418240 is about 366.9687574718.

The spelling of 49418240 in words is "forty-nine million, four hundred eighteen thousand, two hundred forty".