945406080 has 192 divisors, whose sum is σ = 3386073600. Its totient is φ = 252066816.

The previous prime is 945406019. The next prime is 945406087. The reversal of 945406080 is 80604549.

945406080 is a `hidden beast` number, since 9 + 4 + 5 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×945406080² = 1787585312201932800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (945406087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152481 + ... + 158559.

It is an arithmetic number, because the mean of its divisors is an integer number (17635800).

Almost surely, 2^945406080 is an apocalyptic number.

945406080 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 945406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693036800).

945406080 is an abundant number, since it is smaller than the sum of its proper divisors (2440667520).

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

945406080 is an equidigital number, since it uses as much as digits as its factorization.

945406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6089 counting only the distinct ones).

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

The square root of 945406080 is about 30747.4564801708. The cubic root of 945406080 is about 981.4604353198.

The spelling of 945406080 in words is "nine hundred forty-five million, four hundred six thousand, eighty".