1466827020 has 72 divisors (see below), whose sum is σ = 4472534976. Its totient is φ = 389117952.

The previous prime is 1466827009. The next prime is 1466827027. The reversal of 1466827020 is 207286641.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1466827027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13629 + ... + 55851.

Almost surely, 2^1466827020 is an apocalyptic number.

1466827020 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 1466827020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236267488).

1466827020 is an abundant number, since it is smaller than the sum of its proper divisors (3005707956).

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

1466827020 is a wasteful number, since it uses less digits than its factorization.

1466827020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42431 (or 42426 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1466827020 is about 38299.1777979632. The cubic root of 1466827020 is about 1136.2126856209.

The spelling of 1466827020 in words is "one billion, four hundred sixty-six million, eight hundred twenty-seven thousand, twenty".