906466288 has 240 divisors, whose sum is σ = 2406512640. Its totient is φ = 326592000.

The previous prime is 906466279. The next prime is 906466289. The reversal of 906466288 is 882664609.

906466288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×906466288² = 1643362262560997888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906466289) 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, 6003013 + ... + 6003163.

It is an arithmetic number, because the mean of its divisors is an integer number (10027136).

Almost surely, 2^906466288 is an apocalyptic number.

906466288 is a gapful number since it is divisible by the number (98) 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 906466288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203256320).

906466288 is an abundant number, since it is smaller than the sum of its proper divisors (1500046352).

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

906466288 is a wasteful number, since it uses less digits than its factorization.

906466288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 906466288 is about 30107.5785808158. The cubic root of 906466288 is about 967.7961401635.

The spelling of 906466288 in words is "nine hundred six million, four hundred sixty-six thousand, two hundred eighty-eight".