1630994400 has 864 divisors, whose sum is σ = 7267034880. Its totient is φ = 351267840.

The previous prime is 1630994389. The next prime is 1630994411. The reversal of 1630994400 is 44990361.

1630994400 is a `hidden beast` number, since 163 + 0 + 9 + 94 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1630994389) and next prime (1630994411).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24343167 + ... + 24343233.

It is an arithmetic number, because the mean of its divisors is an integer number (8410920).

Almost surely, 2^1630994400 is an apocalyptic number.

1630994400 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 1630994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633517440).

1630994400 is an abundant number, since it is smaller than the sum of its proper divisors (5636040480).

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

1630994400 is a wasteful number, since it uses less digits than its factorization.

1630994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1630994400 is about 40385.5716809853. The cubic root of 1630994400 is about 1177.1111946068. Note that the first 4 decimals are identical.

The spelling of 1630994400 in words is "one billion, six hundred thirty million, nine hundred ninety-four thousand, four hundred".