1466678400 has 768 divisors, whose sum is σ = 6010329600. Its totient is φ = 309657600.

The previous prime is 1466678351. The next prime is 1466678429. The reversal of 1466678400 is 48766641.

1466678400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1466678400² = 4302291058053120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34108779 + ... + 34108821.

It is an arithmetic number, because the mean of its divisors is an integer number (7825950).

Almost surely, 2^1466678400 is an apocalyptic number.

1466678400 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 1466678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005164800).

1466678400 is an abundant number, since it is smaller than the sum of its proper divisors (4543651200).

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

1466678400 is a wasteful number, since it uses less digits than its factorization.

1466678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1466678400 is about 38297.2374982844. The cubic root of 1466678400 is about 1136.1743103545.

The spelling of 1466678400 in words is "one billion, four hundred sixty-six million, six hundred seventy-eight thousand, four hundred".