1466366400 has 252 divisors, whose sum is σ = 5281879200. Its totient is φ = 385781760.

The previous prime is 1466366383. The next prime is 1466366417. The reversal of 1466366400 is 46636641.

1466366400 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 3 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1466366383) and next prime (1466366417).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136956 + ... + 1138244.

Almost surely, 2^1466366400 is an apocalyptic number.

1466366400 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 1466366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640939600).

1466366400 is an abundant number, since it is smaller than the sum of its proper divisors (3815512800).

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

1466366400 is a wasteful number, since it uses less digits than its factorization.

1466366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1466366400 is about 38293.1638807764. The cubic root of 1466366400 is about 1136.0937401982.

The spelling of 1466366400 in words is "one billion, four hundred sixty-six million, three hundred sixty-six thousand, four hundred".