945442920 has 128 divisors (see below), whose sum is σ = 2948140800. Its totient is φ = 242264064.

The previous prime is 945442919. The next prime is 945442951. The reversal of 945442920 is 29244549.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914724 + ... + 915756.

It is an arithmetic number, because the mean of its divisors is an integer number (23032350).

Almost surely, 2^945442920 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 945442920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474070400).

945442920 is an abundant number, since it is smaller than the sum of its proper divisors (2002697880).

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

945442920 is a wasteful number, since it uses less digits than its factorization.

945442920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 945442920 is about 30748.0555482782. The cubic root of 945442920 is about 981.4731834688.

The spelling of 945442920 in words is "nine hundred forty-five million, four hundred forty-two thousand, nine hundred twenty".