950077440 has 432 divisors, whose sum is σ = 3624025860. Its totient is φ = 230031360.

The previous prime is 950077393. The next prime is 950077441. The reversal of 950077440 is 44770059.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 949625856 = 672^2 + 30816^2 .

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 = 950077395 and 950077404.

It is not an unprimeable number, because it can be changed into a prime (950077441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15575010 + ... + 15575070.

Almost surely, 2^950077440 is an apocalyptic number.

950077440 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 950077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812012930).

950077440 is an abundant number, since it is smaller than the sum of its proper divisors (2673948420).

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

950077440 is a wasteful number, since it uses less digits than its factorization.

950077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 950077440 is about 30823.3262319303. The cubic root of 950077440 is about 983.0742830654.

The spelling of 950077440 in words is "nine hundred fifty million, seventy-seven thousand, four hundred forty".