945252744 has 64 divisors (see below), whose sum is σ = 2446848000. Its totient is φ = 303984960.

The previous prime is 945252731. The next prime is 945252757. The reversal of 945252744 is 447252549.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (945252731) and next prime (945252757).

It is a junction number, because it is equal to n+sod(n) for n = 945252696 and 945252705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265327 + ... + 268865.

It is an arithmetic number, because the mean of its divisors is an integer number (38232000).

Almost surely, 2^945252744 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 945252744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223424000).

945252744 is an abundant number, since it is smaller than the sum of its proper divisors (1501595256).

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

945252744 is a wasteful number, since it uses less digits than its factorization.

945252744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3934 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 945252744 is about 30744.9629045149. The cubic root of 945252744 is about 981.4073712248.

The spelling of 945252744 in words is "nine hundred forty-five million, two hundred fifty-two thousand, seven hundred forty-four".