490793760 has 144 divisors (see below), whose sum is σ = 1700165376. Its totient is φ = 128899584.

The previous prime is 490793759. The next prime is 490793777. The reversal of 490793760 is 67397094.

490793760 is a `hidden beast` number, since 490 + 7 + 93 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93937 + ... + 99023.

It is an arithmetic number, because the mean of its divisors is an integer number (11806704).

Almost surely, 2^490793760 is an apocalyptic number.

490793760 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 490793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850082688).

490793760 is an abundant number, since it is smaller than the sum of its proper divisors (1209371616).

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

490793760 is a wasteful number, since it uses less digits than its factorization.

490793760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 490793760 is about 22153.8655769146. The cubic root of 490793760 is about 788.7989868971.

The spelling of 490793760 in words is "four hundred ninety million, seven hundred ninety-three thousand, seven hundred sixty".