49307040 has 144 divisors (see below), whose sum is σ = 170476488. Its totient is φ = 12976128.

The previous prime is 49306997. The next prime is 49307057. The reversal of 49307040 is 4070394.

It can be written as a sum of positive squares in 4 ways, for example, as 36433296 + 12873744 = 6036^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 49306995 and 49307013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139504 + ... + 139856.

Almost surely, 2^49307040 is an apocalyptic number.

49307040 is a gapful number since it is divisible by the number (40) 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 49307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85238244).

49307040 is an abundant number, since it is smaller than the sum of its proper divisors (121169448).

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

49307040 is a wasteful number, since it uses less digits than its factorization.

49307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 49307040 is about 7021.8971795377. The cubic root of 49307040 is about 366.6933020137.

The spelling of 49307040 in words is "forty-nine million, three hundred seven thousand, forty".