1406664000 has 336 divisors, whose sum is σ = 5752770816. Its totient is φ = 321408000.

The previous prime is 1406663981. The next prime is 1406664011. The reversal of 1406664000 is 4666041.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502605 + ... + 505395.

Almost surely, 2^1406664000 is an apocalyptic number.

1406664000 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 1406664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876385408).

1406664000 is an abundant number, since it is smaller than the sum of its proper divisors (4346106816).

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

1406664000 is a wasteful number, since it uses less digits than its factorization.

1406664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1406664000 is about 37505.5195937878. The cubic root of 1406664000 is about 1120.4611196484.

The spelling of 1406664000 in words is "one billion, four hundred six million, six hundred sixty-four thousand".