49342464 has 72 divisors (see below), whose sum is σ = 142563330. Its totient is φ = 16441344.

The previous prime is 49342453. The next prime is 49342481. The reversal of 49342464 is 46424394.

It can be written as a sum of positive squares in only one way, i.e., 49112064 + 230400 = 7008^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17094 + ... + 19770.

Almost surely, 2^49342464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71281665).

49342464 is an abundant number, since it is smaller than the sum of its proper divisors (93220866).

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

49342464 is a wasteful number, since it uses less digits than its factorization.

49342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2682 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 49342464 is about 7024.4191218919. The cubic root of 49342464 is about 366.7810963327.

The spelling of 49342464 in words is "forty-nine million, three hundred forty-two thousand, four hundred sixty-four".