949411008 has 336 divisors, whose sum is σ = 3417173760. Its totient is φ = 245348352.

The previous prime is 949410989. The next prime is 949411013. The reversal of 949411008 is 800114949.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×949411008² = 1802762524223152128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3092391 + ... + 3092697.

It is an arithmetic number, because the mean of its divisors is an integer number (10170160).

Almost surely, 2^949411008 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 949411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708586880).

949411008 is an abundant number, since it is smaller than the sum of its proper divisors (2467762752).

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

949411008 is a wasteful number, since it uses less digits than its factorization.

949411008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 949411008 is about 30812.5138214979. The cubic root of 949411008 is about 982.8443700856.

It can be divided in two parts, 9494 and 11008, that added together give a palindrome (20502).

The spelling of 949411008 in words is "nine hundred forty-nine million, four hundred eleven thousand, eight".