1946401200 has 180 divisors, whose sum is σ = 6919822728. Its totient is φ = 506342400.

The previous prime is 1946401153. The next prime is 1946401201. The reversal of 1946401200 is 21046491.

1946401200 is a `hidden beast` number, since 1 + 9 + 4 + 640 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1946401200² = 7576955262722880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1946401201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141007 + ... + 154193.

Almost surely, 2^1946401200 is an apocalyptic number.

1946401200 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 1946401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459911364).

1946401200 is an abundant number, since it is smaller than the sum of its proper divisors (4973421528).

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

1946401200 is a wasteful number, since it uses less digits than its factorization.

1946401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13252 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1946401200 is about 44118.0371276874. The cubic root of 1946401200 is about 1248.5639401508.

Adding to 1946401200 its reverse (21046491), we get a palindrome (1967447691).

The spelling of 1946401200 in words is "one billion, nine hundred forty-six million, four hundred one thousand, two hundred".