495987456 has 144 divisors (see below), whose sum is σ = 1411635456. Its totient is φ = 154226688.

The previous prime is 495987449. The next prime is 495987487. The reversal of 495987456 is 654789594.

It is a junction number, because it is equal to n+sod(n) for n = 495987396 and 495987405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759226 + ... + 759878.

It is an arithmetic number, because the mean of its divisors is an integer number (9803024).

Almost surely, 2^495987456 is an apocalyptic number.

495987456 is a gapful number since it is divisible by the number (46) 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 495987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705817728).

495987456 is an abundant number, since it is smaller than the sum of its proper divisors (915648000).

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

495987456 is a wasteful number, since it uses less digits than its factorization.

495987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 724 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The square root of 495987456 is about 22270.7758284259. The cubic root of 495987456 is about 791.5716487895.

The spelling of 495987456 in words is "four hundred ninety-five million, nine hundred eighty-seven thousand, four hundred fifty-six".