945341280 has 480 divisors, whose sum is σ = 3729293568. Its totient is φ = 223948800.

The previous prime is 945341269. The next prime is 945341281. The reversal of 945341280 is 82143549.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×945341280⁴ (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945341281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5222790 + ... + 5222970.

Almost surely, 2^945341280 is an apocalyptic number.

945341280 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 945341280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864646784).

945341280 is an abundant number, since it is smaller than the sum of its proper divisors (2783952288).

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

945341280 is a wasteful number, since it uses less digits than its factorization.

945341280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

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

The square root of 945341280 is about 30746.4027164155. The cubic root of 945341280 is about 981.4380110619.

It can be divided in two parts, 945 and 341280, that added together give a square (342225 = 585²).

The spelling of 945341280 in words is "nine hundred forty-five million, three hundred forty-one thousand, two hundred eighty".