965459040 has 576 divisors, whose sum is σ = 4035806208. Its totient is φ = 188559360.

The previous prime is 965458997. The next prime is 965459081. The reversal of 965459040 is 40954569.

It is a happy number.

965459040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×965459040² = 1864222315835443200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 965458983 and 965459001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31143825 + ... + 31143855.

It is an arithmetic number, because the mean of its divisors is an integer number (7006608).

Almost surely, 2^965459040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017903104).

965459040 is an abundant number, since it is smaller than the sum of its proper divisors (3070347168).

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

965459040 is a wasteful number, since it uses less digits than its factorization.

965459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 965459040 is about 31071.8367657916. The cubic root of 965459040 is about 988.3511785206.

The spelling of 965459040 in words is "nine hundred sixty-five million, four hundred fifty-nine thousand, forty".