910428456 has 128 divisors (see below), whose sum is σ = 2663055360. Its totient is φ = 254016000.

The previous prime is 910428451. The next prime is 910428461. The reversal of 910428456 is 654824019.

910428456 is a nontrivial binomial coefficient, being equal to C(42672, 2).

It is an interprime number because it is at equal distance from previous prime (910428451) and next prime (910428461).

It is not an unprimeable number, because it can be changed into a prime (910428451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1514556 + ... + 1515156.

It is an arithmetic number, because the mean of its divisors is an integer number (20805120).

Almost surely, 2^910428456 is an apocalyptic number.

910428456 is the 42671-st triangular number and also the 21336-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 910428456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331527680).

910428456 is an abundant number, since it is smaller than the sum of its proper divisors (1752626904).

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

910428456 is a wasteful number, since it uses less digits than its factorization.

910428456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 910428456 is about 30173.3070113304. The cubic root of 910428456 is about 969.2041709971.

The spelling of 910428456 in words is "nine hundred ten million, four hundred twenty-eight thousand, four hundred fifty-six".