49735408 has 40 divisors (see below), whose sum is σ = 100172160. Its totient is φ = 23896320.

The previous prime is 49735397. The next prime is 49735423. The reversal of 49735408 is 80453794.

It is a super-2 number, since 2×49735408² = 4947221617852928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97458 + ... + 97966.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^49735408 is an apocalyptic number.

49735408 is the 4072-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49735408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

49735408 is an abundant number, since it is smaller than the sum of its proper divisors (50436752).

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

49735408 is a wasteful number, since it uses less digits than its factorization.

49735408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 49735408 is about 7052.3335145184. Note that the first 3 decimals coincide. The cubic root of 49735408 is about 367.7521566846.

The spelling of 49735408 in words is "forty-nine million, seven hundred thirty-five thousand, four hundred eight".