945924480 has 320 divisors, whose sum is σ = 3438974880. Its totient is φ = 247726080.

The previous prime is 945924479. The next prime is 945924487. The reversal of 945924480 is 84429549.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945924487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3680512 + ... + 3680768.

Almost surely, 2^945924480 is an apocalyptic number.

945924480 is a gapful number since it is divisible by the number (90) 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 945924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719487440).

945924480 is an abundant number, since it is smaller than the sum of its proper divisors (2493050400).

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

945924480 is a wasteful number, since it uses less digits than its factorization.

945924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 945924480 is about 30755.8852904611. The cubic root of 945924480 is about 981.6397925057.

The spelling of 945924480 in words is "nine hundred forty-five million, nine hundred twenty-four thousand, four hundred eighty".