945516240 has 200 divisors, whose sum is σ = 3327287040. Its totient is φ = 248811264.

The previous prime is 945516239. The next prime is 945516281. The reversal of 945516240 is 42615549.

945516240 is a `hidden beast` number, since 9 + 4 + 551 + 62 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 945516195 and 945516204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 510997 + ... + 512843.

Almost surely, 2^945516240 is an apocalyptic number.

945516240 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 945516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663643520).

945516240 is an abundant number, since it is smaller than the sum of its proper divisors (2381770800).

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

945516240 is a wasteful number, since it uses less digits than its factorization.

945516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 945516240 is about 30749.2477956779. The cubic root of 945516240 is about 981.4985542068.

The spelling of 945516240 in words is "nine hundred forty-five million, five hundred sixteen thousand, two hundred forty".