490765325450400 has 3456 divisors, whose sum is σ = 2443615110623232. Its totient is φ = 92804382720000.

The previous prime is 490765325450377. The next prime is 490765325450401. The reversal of 490765325450400 is 4054523567094.

It is a happy number.

490765325450400 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 6 + 53 + 2 + 545 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (490765325450401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13816184640 + ... + 13816220160.

It is an arithmetic number, because the mean of its divisors is an integer number (707064557472).

Almost surely, 2^{490765325450400} is an apocalyptic number.

490765325450400 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 490765325450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221807555311616).

490765325450400 is an abundant number, since it is smaller than the sum of its proper divisors (1952849785172832).

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

490765325450400 is a wasteful number, since it uses less digits than its factorization.

490765325450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35658 (or 35633 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 490765325450400 in words is "four hundred ninety trillion, seven hundred sixty-five billion, three hundred twenty-five million, four hundred fifty thousand, four hundred".