945040416 has 48 divisors (see below), whose sum is σ = 2491171200. Its totient is φ = 313687808.

The previous prime is 945040409. The next prime is 945040433. The reversal of 945040416 is 614040549.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2350 + ... + 43538.

It is an arithmetic number, because the mean of its divisors is an integer number (51899400).

Almost surely, 2^945040416 is an apocalyptic number.

945040416 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 945040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245585600).

945040416 is an abundant number, since it is smaller than the sum of its proper divisors (1546130784).

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

945040416 is a wasteful number, since it uses less digits than its factorization.

945040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41441 (or 41433 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 945040416 is about 30741.5096571395. The cubic root of 945040416 is about 981.3338826366. Note that the first 3 decimals are identical.

The spelling of 945040416 in words is "nine hundred forty-five million, forty thousand, four hundred sixteen".