906479250 has 96 divisors (see below), whose sum is σ = 2322328320. Its totient is φ = 235504000.

The previous prime is 906479237. The next prime is 906479257. The reversal of 906479250 is 52974609.

It is not an unprimeable number, because it can be changed into a prime (906479257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1260391 + ... + 1261109.

It is an arithmetic number, because the mean of its divisors is an integer number (24190920).

Almost surely, 2^906479250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906479250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161164160).

906479250 is an abundant number, since it is smaller than the sum of its proper divisors (1415849070).

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

906479250 is a wasteful number, since it uses less digits than its factorization.

906479250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 906479250 is about 30107.7938414624. The cubic root of 906479250 is about 967.8007531366.

The spelling of 906479250 in words is "nine hundred six million, four hundred seventy-nine thousand, two hundred fifty".