1466260416 has 168 divisors, whose sum is σ = 4422038400. Its totient is φ = 463841280.

The previous prime is 1466260297. The next prime is 1466260417. The reversal of 1466260416 is 6140626641.

1466260416 is a `hidden beast` number, since 1 + 46 + 6 + 2 + 604 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466260417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018225 + ... + 1019663.

Almost surely, 2^1466260416 is an apocalyptic number.

1466260416 is a gapful number since it is divisible by the number (16) 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 1466260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211019200).

1466260416 is an abundant number, since it is smaller than the sum of its proper divisors (2955777984).

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

1466260416 is a wasteful number, since it uses less digits than its factorization.

1466260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1466260416 is about 38291.7800056357. The cubic root of 1466260416 is about 1136.0663685354.

It can be divided in two parts, 14662 and 60416, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 1466260416 in words is "one billion, four hundred sixty-six million, two hundred sixty thousand, four hundred sixteen".