490740076800 has 216 divisors, whose sum is σ = 1799494512480. Its totient is φ = 130863974400.

The previous prime is 490740076789. The next prime is 490740076837. The reversal of 490740076800 is 8670047094.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247166 + ... + 1592765.

Almost surely, 2^490740076800 is an apocalyptic number.

490740076800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490740076800 is an abundant number, since it is smaller than the sum of its proper divisors (1308754435680).

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

490740076800 is a wasteful number, since it uses less digits than its factorization.

490740076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839966 (or 2839941 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 490740076800 in words is "four hundred ninety billion, seven hundred forty million, seventy-six thousand, eight hundred".