49601376 has 192 divisors, whose sum is σ = 167650560. Its totient is φ = 14100480.

The previous prime is 49601371. The next prime is 49601399. The reversal of 49601376 is 67310694.

49601376 = T₄₀₈ + T₄₀₉ + ... + T₇₁₄.

49601376 is a `hidden beast` number, since 49 + 601 + 3 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49601376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49601371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161415 + ... + 161721.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^49601376 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 49601376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

49601376 is an abundant number, since it is smaller than the sum of its proper divisors (118049184).

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

49601376 is a wasteful number, since it uses less digits than its factorization.

49601376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 49601376 is about 7042.8244334216. The cubic root of 49601376 is about 367.4215076013.

It can be divided in two parts, 4960 and 1376, that added together give a palindrome (6336).

The spelling of 49601376 in words is "forty-nine million, six hundred one thousand, three hundred seventy-six".