1480900608 has 270 divisors, whose sum is σ = 4758948012. Its totient is φ = 443351040.

The previous prime is 1480900601. The next prime is 1480900621. The reversal of 1480900608 is 8060090841.

It is a happy number.

1480900608 is a `hidden beast` number, since 1 + 48 + 0 + 9 + 0 + 0 + 608 = 666.

It is a super-2 number, since 2×1480900608² = 4386133221549539328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1480900601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17842135 + ... + 17842217.

Almost surely, 2^1480900608 is an apocalyptic number.

1480900608 is a gapful number since it is divisible by the number (18) 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 1480900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379474006).

1480900608 is an abundant number, since it is smaller than the sum of its proper divisors (3278047404).

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

1480900608 is an equidigital number, since it uses as much as digits as its factorization.

1480900608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1480900608 is about 38482.4714383055. The cubic root of 1480900608 is about 1139.8349530219.

The spelling of 1480900608 in words is "one billion, four hundred eighty million, nine hundred thousand, six hundred eight".