951978240 has 216 divisors, whose sum is σ = 3488212728. Its totient is φ = 238878720.

The previous prime is 951978229. The next prime is 951978253. The reversal of 951978240 is 42879159.

It can be written as a sum of positive squares in 4 ways, for example, as 412252416 + 539725824 = 20304^2 + 23232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193410 + ... + 198270.

It is an arithmetic number, because the mean of its divisors is an integer number (16149133).

Almost surely, 2^951978240 is an apocalyptic number.

951978240 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 951978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744106364).

951978240 is an abundant number, since it is smaller than the sum of its proper divisors (2536234488).

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

951978240 is a wasteful number, since it uses less digits than its factorization.

951978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 951978240 is about 30854.1446162424. The cubic root of 951978240 is about 983.7294516960.

The spelling of 951978240 in words is "nine hundred fifty-one million, nine hundred seventy-eight thousand, two hundred forty".