49509504 has 96 divisors (see below), whose sum is σ = 155460240. Its totient is φ = 14999040.

The previous prime is 49509463. The next prime is 49509521. The reversal of 49509504 is 40590594.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10719 + ... + 14625.

Almost surely, 2^49509504 is an apocalyptic number.

49509504 is a gapful number since it is divisible by the number (44) 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 49509504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77730120).

49509504 is an abundant number, since it is smaller than the sum of its proper divisors (105950736).

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

49509504 is a wasteful number, since it uses less digits than its factorization.

49509504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 49509504 is about 7036.2990271875. The cubic root of 49509504 is about 367.1945205442.

The spelling of 49509504 in words is "forty-nine million, five hundred nine thousand, five hundred four".