1466890992 has 320 divisors, whose sum is σ = 5106816000. Its totient is φ = 394232832.

The previous prime is 1466890967. The next prime is 1466891003. The reversal of 1466890992 is 2990986641.

1466890992 is a `hidden beast` number, since 1 + 466 + 8 + 90 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3770734 + ... + 3771122.

It is an arithmetic number, because the mean of its divisors is an integer number (15958800).

Almost surely, 2^1466890992 is an apocalyptic number.

1466890992 is a gapful number since it is divisible by the number (12) 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 1466890992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408000).

1466890992 is an abundant number, since it is smaller than the sum of its proper divisors (3639925008).

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

1466890992 is a wasteful number, since it uses less digits than its factorization.

1466890992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1466890992 is about 38300.0129503895. The cubic root of 1466890992 is about 1136.2292030744.

The spelling of 1466890992 in words is "one billion, four hundred sixty-six million, eight hundred ninety thousand, nine hundred ninety-two".