49610000 has 150 divisors (see below), whose sum is σ = 135242646. Its totient is φ = 17600000.

The previous prime is 49609943. The next prime is 49610017. The reversal of 49610000 is 1694.

It can be written as a sum of positive squares in 5 ways, for example, as 33223696 + 16386304 = 5764^2 + 4048^2 .

It is a super-2 number, since 2×49610000² = 4922304200000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209980 + ... + 1210020.

Almost surely, 2^49610000 is an apocalyptic number.

49610000 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 49610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67621323).

49610000 is an abundant number, since it is smaller than the sum of its proper divisors (85632646).

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

49610000 is a wasteful number, since it uses less digits than its factorization.

49610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 49610000 is about 7043.4366611761. The cubic root of 49610000 is about 367.4428004209.

Adding to 49610000 its reverse (1694), we get a palindrome (49611694).

It can be divided in two parts, 4 and 9610000, that multiplied together give a square (38440000 = 6200²).

The spelling of 49610000 in words is "forty-nine million, six hundred ten thousand".