1633130400 has 144 divisors (see below), whose sum is σ = 5799191328. Its totient is φ = 395904000.

The previous prime is 1633130399. The next prime is 1633130417. The reversal of 1633130400 is 40313361.

It is a super-2 number, since 2×1633130400² = 5334229806808320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4531 + ... + 57330.

It is an arithmetic number, because the mean of its divisors is an integer number (40272162).

Almost surely, 2^1633130400 is an apocalyptic number.

1633130400 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 1633130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899595664).

1633130400 is an abundant number, since it is smaller than the sum of its proper divisors (4166060928).

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

1633130400 is a wasteful number, since it uses less digits than its factorization.

1633130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61895 (or 61882 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1633130400 is about 40412.0081164003. The cubic root of 1633130400 is about 1177.6248306856.

Adding to 1633130400 its reverse (40313361), we get a palindrome (1673443761).

The spelling of 1633130400 in words is "one billion, six hundred thirty-three million, one hundred thirty thousand, four hundred".