1630553400 has 576 divisors, whose sum is σ = 6770400000. Its totient is φ = 350542080.

The previous prime is 1630553399. The next prime is 1630553401. The reversal of 1630553400 is 43550361.

1630553400 is a `hidden beast` number, since 16 + 305 + 5 + 340 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1630553399) and next prime (1630553401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630553401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11730531 + ... + 11730669.

Almost surely, 2^1630553400 is an apocalyptic number.

1630553400 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 1630553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200000).

1630553400 is an abundant number, since it is smaller than the sum of its proper divisors (5139846600).

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

1630553400 is a wasteful number, since it uses less digits than its factorization.

1630553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1630553400 is about 40380.1114411538. Note that the first 3 decimals coincide. The cubic root of 1630553400 is about 1177.0050931123.

The spelling of 1630553400 in words is "one billion, six hundred thirty million, five hundred fifty-three thousand, four hundred".