49986720 has 480 divisors, whose sum is σ = 219542400. Its totient is φ = 10450944.

The previous prime is 49986707. The next prime is 49986733. The reversal of 49986720 is 2768994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49986707) and next prime (49986733).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723666 + ... + 1723694.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 2^49986720 is an apocalyptic number.

49986720 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 49986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

49986720 is an abundant number, since it is smaller than the sum of its proper divisors (169555680).

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

49986720 is a wasteful number, since it uses less digits than its factorization.

49986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49986720 is about 7070.1287116997. The cubic root of 49986720 is about 368.3705310171.

The spelling of 49986720 in words is "forty-nine million, nine hundred eighty-six thousand, seven hundred twenty".