1630025280 has 504 divisors, whose sum is σ = 6460812072. Its totient is φ = 375717888.

The previous prime is 1630025279. The next prime is 1630025281. The reversal of 1630025280 is 825200361.

1630025280 is a `hidden beast` number, since 1 + 630 + 0 + 2 + 5 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1630025279) and next prime (1630025281).

It can be written as a sum of positive squares in 12 ways, for example, as 230068224 + 1399957056 = 15168^2 + 37416^2 .

It is not an unprimeable number, because it can be changed into a prime (1630025281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8274142 + ... + 8274338.

Almost surely, 2^1630025280 is an apocalyptic number.

1630025280 is a gapful number since it is divisible by the number (10) 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 1630025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230406036).

1630025280 is an abundant number, since it is smaller than the sum of its proper divisors (4830786792).

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

1630025280 is a wasteful number, since it uses less digits than its factorization.

1630025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1630025280 is about 40373.5715536785. The cubic root of 1630025280 is about 1176.8780059831.

The spelling of 1630025280 in words is "one billion, six hundred thirty million, twenty-five thousand, two hundred eighty".