49577472 has 240 divisors, whose sum is σ = 172355040. Its totient is φ = 13418496.

The previous prime is 49577471. The next prime is 49577503. The reversal of 49577472 is 27477594.

49577472 is a `hidden beast` number, since 4 + 9 + 577 + 4 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49577471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935398 + ... + 935450.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^49577472 is an apocalyptic number.

49577472 is a gapful number since it is divisible by the number (42) 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 49577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

49577472 is an abundant number, since it is smaller than the sum of its proper divisors (122777568).

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

49577472 is a wasteful number, since it uses less digits than its factorization.

49577472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 49577472 is about 7041.1271824900. The cubic root of 49577472 is about 367.3624752673.

The spelling of 49577472 in words is "forty-nine million, five hundred seventy-seven thousand, four hundred seventy-two".