945060480 has 512 divisors, whose sum is σ = 4126348800. Its totient is φ = 199065600.

The previous prime is 945060463. The next prime is 945060499. The reversal of 945060480 is 84060549.

945060480 is a `hidden beast` number, since 9 + 45 + 0 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572180 + ... + 1572780.

It is an arithmetic number, because the mean of its divisors is an integer number (8059275).

Almost surely, 2^945060480 is an apocalyptic number.

945060480 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 945060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063174400).

945060480 is an abundant number, since it is smaller than the sum of its proper divisors (3181288320).

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

945060480 is a wasteful number, since it uses less digits than its factorization.

945060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 945060480 is about 30741.8359894135. The cubic root of 945060480 is about 981.3408274344.

The spelling of 945060480 in words is "nine hundred forty-five million, sixty thousand, four hundred eighty".