960407280 has 400 divisors, whose sum is σ = 3940890624. Its totient is φ = 212129280.

The previous prime is 960407267. The next prime is 960407291. The reversal of 960407280 is 82704069.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1405819 + ... + 1406501.

Almost surely, 2^960407280 is an apocalyptic number.

960407280 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 960407280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970445312).

960407280 is an abundant number, since it is smaller than the sum of its proper divisors (2980483344).

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

960407280 is a wasteful number, since it uses less digits than its factorization.

960407280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 960407280 is about 30990.4385254549. The cubic root of 960407280 is about 986.6243154048.

The spelling of 960407280 in words is "nine hundred sixty million, four hundred seven thousand, two hundred eighty".