49762440 has 384 divisors, whose sum is σ = 209664000. Its totient is φ = 10160640.

The previous prime is 49762439. The next prime is 49762469. The reversal of 49762440 is 4426794.

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

It is a junction number, because it is equal to n+sod(n) for n = 49762395 and 49762404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605225 + ... + 1605255.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^49762440 is an apocalyptic number.

49762440 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 49762440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

49762440 is an abundant number, since it is smaller than the sum of its proper divisors (159901560).

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

49762440 is a wasteful number, since it uses less digits than its factorization.

49762440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 49762440 is about 7054.2497829323. The cubic root of 49762440 is about 367.8187710358.

The spelling of 49762440 in words is "forty-nine million, seven hundred sixty-two thousand, four hundred forty".