906464000 has 144 divisors (see below), whose sum is σ = 2432932320. Its totient is φ = 334540800.

The previous prime is 906463993. The next prime is 906464011. The reversal of 906464000 is 464609.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414911 + ... + 417089.

Almost surely, 2^906464000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216466160).

906464000 is an abundant number, since it is smaller than the sum of its proper divisors (1526468320).

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

906464000 is a wasteful number, since it uses less digits than its factorization.

906464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 906464000 is about 30107.5405837142. The cubic root of 906464000 is about 967.7953258955.

The spelling of 906464000 in words is "nine hundred six million, four hundred sixty-four thousand".