490070785248 has 720 divisors, whose sum is σ = 1664904181248. Its totient is φ = 140097600000.

The previous prime is 490070785229. The next prime is 490070785381. The reversal of 490070785248 is 842587070094.

It is a happy number.

490070785248 is a `hidden beast` number, since 49 + 0 + 0 + 7 + 0 + 78 + 524 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 490070785194 and 490070785203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1952473123 + ... + 1952473373.

Almost surely, 2^490070785248 is an apocalyptic number.

490070785248 is a gapful number since it is divisible by the number (48) 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 490070785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832452090624).

490070785248 is an abundant number, since it is smaller than the sum of its proper divisors (1174833396000).

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

490070785248 is a wasteful number, since it uses less digits than its factorization.

490070785248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 490070785248 in words is "four hundred ninety billion, seventy million, seven hundred eighty-five thousand, two hundred forty-eight".