49700 has 36 divisors (see below), whose sum is σ = 124992. Its totient is φ = 16800.

The previous prime is 49697. The next prime is 49711. The reversal of 49700 is 794.

49700 = 32² + 33² + ... + 56².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁴⁹⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

49700 is an abundant number, since it is smaller than the sum of its proper divisors (75292).

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

49700 is a wasteful number, since it uses less digits than its factorization.

49700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 49700 is about 222.9349680961. The cubic root of 49700 is about 36.7664865020.

49700 divided by its sum of digits (20) gives a triangular number (2485 = T₇₀).

The spelling of 49700 in words is "forty-nine thousand, seven hundred".