490255416000 has 896 divisors, whose sum is σ = 2081546987520. Its totient is φ = 112030387200.

The previous prime is 490255415939. The next prime is 490255416031. The reversal of 490255416000 is 614552094.

490255416000 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 5 + 5 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122469999 + ... + 122474001.

It is an arithmetic number, because the mean of its divisors is an integer number (2323155120).

Almost surely, 2^490255416000 is an apocalyptic number.

490255416000 is a gapful number since it is divisible by the number (40) 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 490255416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040773493760).

490255416000 is an abundant number, since it is smaller than the sum of its proper divisors (1591291571520).

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

490255416000 is an frugal number, since it uses more digits than its factorization.

490255416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 490255416000 its reverse (614552094), we get a palindrome (490869968094).

The spelling of 490255416000 in words is "four hundred ninety billion, two hundred fifty-five million, four hundred sixteen thousand".