49434624 has 130 divisors (see below), whose sum is σ = 148666650. Its totient is φ = 16367616.

The previous prime is 49434607. The next prime is 49434631. The reversal of 49434624 is 42643494.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 16257024 = 5760^2 + 4032^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331702 + ... + 331850.

Almost surely, 2^49434624 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 49434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74333325).

49434624 is an abundant number, since it is smaller than the sum of its proper divisors (99232026).

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

49434624 is an equidigital number, since it uses as much as digits as its factorization.

49434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

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

The square root of 49434624 is about 7030.9760346626. The cubic root of 49434624 is about 367.0093076263.

The spelling of 49434624 in words is "forty-nine million, four hundred thirty-four thousand, six hundred twenty-four".