906407040 has 256 divisors, whose sum is σ = 3602672640. Its totient is φ = 188313600.

The previous prime is 906407039. The next prime is 906407041. The reversal of 906407040 is 40704609.

It is an interprime number because it is at equal distance from previous prime (906407039) and next prime (906407041).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 906406989 and 906407007.

It is not an unprimeable number, because it can be changed into a prime (906407041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 144775 + ... + 150905.

It is an arithmetic number, because the mean of its divisors is an integer number (14072940).

Almost surely, 2^906407040 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 906407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801336320).

906407040 is an abundant number, since it is smaller than the sum of its proper divisors (2696265600).

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

906407040 is a wasteful number, since it uses less digits than its factorization.

906407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 906407040 is about 30106.5946264269. The cubic root of 906407040 is about 967.7750541669.

The spelling of 906407040 in words is "nine hundred six million, four hundred seven thousand, forty".