49406841 has 45 divisors (see below), whose sum is σ = 82283509. Its totient is φ = 29521800.

The previous prime is 49406831. The next prime is 49406843. The reversal of 49406841 is 14860494.

It is a happy number.

The square root of 49406841 is 7029.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 49406841 - 2¹⁷ = 49275769 is a prime.

It is a super-3 number, since 3×49406841³ (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 49406796 and 49406805.

It is not an unprimeable number, because it can be changed into a prime (49406843) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 695836 + ... + 695906.

Almost surely, 2^49406841 is an apocalyptic number.

49406841 is the 7029-th square number.

49406841 is the 3515-th centered octagonal number.

It is an amenable number.

49406841 is a deficient number, since it is larger than the sum of its proper divisors (32876668).

49406841 is an equidigital number, since it uses as much as digits as its factorization.

49406841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 49406841 is about 366.9405398303.

Multiplying 49406841 by its sum of digits (36), we get a square (1778646276 = 42174²).

It can be divided in two parts, 4940 and 6841, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 49406841 in words is "forty-nine million, four hundred six thousand, eight hundred forty-one".