49476672 has 126 divisors (see below), whose sum is σ = 165063678. Its totient is φ = 14128128.

The previous prime is 49476671. The next prime is 49476689. The reversal of 49476672 is 27667494.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 20575296 = 5376^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is not an unprimeable number, because it can be changed into a prime (49476671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27348 + ... + 29100.

Almost surely, 2^49476672 is an apocalyptic number.

49476672 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 49476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82531839).

49476672 is an abundant number, since it is smaller than the sum of its proper divisors (115587006).

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

49476672 is a wasteful number, since it uses less digits than its factorization.

49476672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1765 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 49476672 is about 7033.9655955940. The cubic root of 49476672 is about 367.1133348094.

The spelling of 49476672 in words is "forty-nine million, four hundred seventy-six thousand, six hundred seventy-two".