1466940800 has 192 divisors, whose sum is σ = 3944278800. Its totient is φ = 535879680.

The previous prime is 1466940799. The next prime is 1466940821. The reversal of 1466940800 is 80496641.

It is a congruent number.

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, 7446302 + ... + 7446498.

Almost surely, 2^1466940800 is an apocalyptic number.

1466940800 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 1466940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972139400).

1466940800 is an abundant number, since it is smaller than the sum of its proper divisors (2477338000).

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

1466940800 is a wasteful number, since it uses less digits than its factorization.

1466940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1466940800 is about 38300.6631796370. The cubic root of 1466940800 is about 1136.2420630764.

The spelling of 1466940800 in words is "one billion, four hundred sixty-six million, nine hundred forty thousand, eight hundred".