49959040 has 64 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 19840000.

The previous prime is 49959029. The next prime is 49959101. The reversal of 49959040 is 4095994.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 49958984 and 49959002.

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, 160485 + ... + 160795.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^49959040 is an apocalyptic number.

49959040 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 49959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

49959040 is an abundant number, since it is smaller than the sum of its proper divisors (70335680).

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

49959040 is a wasteful number, since it uses less digits than its factorization.

49959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 49959040 is about 7068.1709090825. The cubic root of 49959040 is about 368.3025237613.

The spelling of 49959040 in words is "forty-nine million, nine hundred fifty-nine thousand, forty".