952924500 has 576 divisors, whose sum is σ = 3663249408. Its totient is φ = 213840000.

The previous prime is 952924487. The next prime is 952924549. The reversal of 952924500 is 5429259.

It is a happy number.

952924500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30739485 + ... + 30739515.

It is an arithmetic number, because the mean of its divisors is an integer number (6359808).

Almost surely, 2^952924500 is an apocalyptic number.

952924500 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 952924500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831624704).

952924500 is an abundant number, since it is smaller than the sum of its proper divisors (2710324908).

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

952924500 is a wasteful number, since it uses less digits than its factorization.

952924500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 952924500 is about 30869.4752141982. The cubic root of 952924500 is about 984.0552839255.

Adding to 952924500 its product of nonzero digits (32400), we get a square (952956900 = 30870²).

The spelling of 952924500 in words is "nine hundred fifty-two million, nine hundred twenty-four thousand, five hundred".