949776900 has 72 divisors (see below), whose sum is σ = 2752365504. Its totient is φ = 252873600.

The previous prime is 949776899. The next prime is 949776917. The reversal of 949776900 is 9677949.

It is a super-2 number, since 2×949776900² = 1804152319547220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220770 + ... + 225030.

Almost surely, 2^949776900 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 949776900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376182752).

949776900 is an abundant number, since it is smaller than the sum of its proper divisors (1802588604).

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

949776900 is a wasteful number, since it uses less digits than its factorization.

949776900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 949776900 is about 30818.4506424317. The cubic root of 949776900 is about 982.9706128130.

The spelling of 949776900 in words is "nine hundred forty-nine million, seven hundred seventy-six thousand, nine hundred".