906976440 has 160 divisors (see below), whose sum is σ = 3069586080. Its totient is φ = 240185088.

The previous prime is 906976429. The next prime is 906976459. The reversal of 906976440 is 44679609.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 507789 + ... + 509571.

It is an arithmetic number, because the mean of its divisors is an integer number (19184913).

Almost surely, 2^906976440 is an apocalyptic number.

906976440 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 906976440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534793040).

906976440 is an abundant number, since it is smaller than the sum of its proper divisors (2162609640).

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

906976440 is a wasteful number, since it uses less digits than its factorization.

906976440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 906976440 is about 30116.0495417311. The cubic root of 906976440 is about 967.9776620986.

The spelling of 906976440 in words is "nine hundred six million, nine hundred seventy-six thousand, four hundred forty".