945749376 has 192 divisors, whose sum is σ = 3197834640. Its totient is φ = 264499200.

The previous prime is 945749359. The next prime is 945749407. The reversal of 945749376 is 673947549.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 161866 + ... + 167606.

Almost surely, 2^945749376 is an apocalyptic number.

945749376 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 945749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598917320).

945749376 is an abundant number, since it is smaller than the sum of its proper divisors (2252085264).

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

945749376 is a wasteful number, since it uses less digits than its factorization.

945749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5770 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 945749376 is about 30753.0384840263. The cubic root of 945749376 is about 981.5792169646.

The spelling of 945749376 in words is "nine hundred forty-five million, seven hundred forty-nine thousand, three hundred seventy-six".