925089480 has 288 divisors, whose sum is σ = 3643099200. Its totient is φ = 198878976.

The previous prime is 925089469. The next prime is 925089481. The reversal of 925089480 is 84980529.

925089480 is a `hidden beast` number, since 92 + 5 + 0 + 89 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (925089481) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6655251 + ... + 6655389.

It is an arithmetic number, because the mean of its divisors is an integer number (12649650).

Almost surely, 2^925089480 is an apocalyptic number.

925089480 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 925089480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821549600).

925089480 is an abundant number, since it is smaller than the sum of its proper divisors (2718009720).

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

925089480 is a wasteful number, since it uses less digits than its factorization.

925089480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 925089480 is about 30415.2836580559. The cubic root of 925089480 is about 974.3789970559.

The spelling of 925089480 in words is "nine hundred twenty-five million, eighty-nine thousand, four hundred eighty".