1630540800 has 528 divisors, whose sum is σ = 6863509120. Its totient is φ = 371589120.

The previous prime is 1630540799. The next prime is 1630540801. The reversal of 1630540800 is 80450361.

1630540800 is a `hidden beast` number, since 16 + 30 + 540 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1630540799) and next prime (1630540801).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630540801) 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 47 ways as a sum of consecutive naturals, for example, 4838232 + ... + 4838568.

Almost surely, 2^1630540800 is an apocalyptic number.

1630540800 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 1630540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431754560).

1630540800 is an abundant number, since it is smaller than the sum of its proper divisors (5232968320).

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

1630540800 is a wasteful number, since it uses less digits than its factorization.

1630540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

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

The square root of 1630540800 is about 40379.9554234524. The cubic root of 1630540800 is about 1177.0020613599.

The spelling of 1630540800 in words is "one billion, six hundred thirty million, five hundred forty thousand, eight hundred".