949768416 has 144 divisors (see below), whose sum is σ = 2844301824. Its totient is φ = 311693184.

The previous prime is 949768397. The next prime is 949768453. The reversal of 949768416 is 614867949.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×949768416² = 1804120088062298112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 520081 + ... + 521903.

It is an arithmetic number, because the mean of its divisors is an integer number (19752096).

Almost surely, 2^949768416 is an apocalyptic number.

949768416 is a gapful number since it is divisible by the number (96) 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 949768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422150912).

949768416 is an abundant number, since it is smaller than the sum of its proper divisors (1894533408).

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

949768416 is a wasteful number, since it uses less digits than its factorization.

949768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1895 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 949768416 is about 30818.3129973073. The cubic root of 949768416 is about 982.9676859686.

The spelling of 949768416 in words is "nine hundred forty-nine million, seven hundred sixty-eight thousand, four hundred sixteen".