906814480 has 160 divisors (see below), whose sum is σ = 2557836288. Its totient is φ = 294451200.

The previous prime is 906814457. The next prime is 906814481. The reversal of 906814480 is 84418609.

It is a super-2 number, since 2×906814480² = 1644625002275340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (906814481) 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, 353362 + ... + 355918.

Almost surely, 2^906814480 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 906814480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278918144).

906814480 is an abundant number, since it is smaller than the sum of its proper divisors (1651021808).

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

906814480 is a wasteful number, since it uses less digits than its factorization.

906814480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 906814480 is about 30113.3604899885. The cubic root of 906814480 is about 967.9200409787.

The spelling of 906814480 in words is "nine hundred six million, eight hundred fourteen thousand, four hundred eighty".