49416480 has 288 divisors, whose sum is σ = 184923648. Its totient is φ = 12441600.

The previous prime is 49416463. The next prime is 49416481. The reversal of 49416480 is 8461494.

It is a happy number.

49416480 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 648 + 0 = 666.

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

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 (49416481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205260 + ... + 1205300.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^49416480 is an apocalyptic number.

49416480 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 49416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

49416480 is an abundant number, since it is smaller than the sum of its proper divisors (135507168).

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

49416480 is a wasteful number, since it uses less digits than its factorization.

49416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

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

The square root of 49416480 is about 7029.6856259722. The cubic root of 49416480 is about 366.9644009651.

The spelling of 49416480 in words is "forty-nine million, four hundred sixteen thousand, four hundred eighty".