1630261400 has 48 divisors (see below), whose sum is σ = 3810291840. Its totient is φ = 648675200.

The previous prime is 1630261363. The next prime is 1630261441. The reversal of 1630261400 is 41620361.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16862 + ... + 59538.

It is an arithmetic number, because the mean of its divisors is an integer number (79381080).

Almost surely, 2^1630261400 is an apocalyptic number.

1630261400 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 1630261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905145920).

1630261400 is an abundant number, since it is smaller than the sum of its proper divisors (2180030440).

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

1630261400 is a wasteful number, since it uses less digits than its factorization.

1630261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42884 (or 42875 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1630261400 is about 40376.4956379327. The cubic root of 1630261400 is about 1176.9348294409.

Adding to 1630261400 its reverse (41620361), we get a palindrome (1671881761).

The spelling of 1630261400 in words is "one billion, six hundred thirty million, two hundred sixty-one thousand, four hundred".