950400000 has 528 divisors, whose sum is σ = 3837879360. Its totient is φ = 230400000.

The previous prime is 950399999. The next prime is 950400023. The reversal of 950400000 is 4059.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86399995 + ... + 86400005.

Almost surely, 2^950400000 is an apocalyptic number.

950400000 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 950400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918939680).

950400000 is an abundant number, since it is smaller than the sum of its proper divisors (2887479360).

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

950400000 is an equidigital number, since it uses as much as digits as its factorization.

950400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 950400000 is about 30828.5581887963. The cubic root of 950400000 is about 983.1855247208.

Adding to 950400000 its reverse (4059), we get a palindrome (950404059).

The spelling of 950400000 in words is "nine hundred fifty million, four hundred thousand".