945362880 has 896 divisors, whose sum is σ = 4389120000. Its totient is φ = 189665280.

The previous prime is 945362867. The next prime is 945362881. The reversal of 945362880 is 88263549.

945362880 is a `hidden beast` number, since 94 + 536 + 28 + 8 + 0 = 666.

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 (945362881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32598706 + ... + 32598734.

Almost surely, 2^945362880 is an apocalyptic number.

945362880 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 945362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560000).

945362880 is an abundant number, since it is smaller than the sum of its proper divisors (3443757120).

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

945362880 is a wasteful number, since it uses less digits than its factorization.

945362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

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

The square root of 945362880 is about 30746.7539750134. The cubic root of 945362880 is about 981.4454859284.

The spelling of 945362880 in words is "nine hundred forty-five million, three hundred sixty-two thousand, eight hundred eighty".