1966484520 has 1024 divisors, whose sum is σ = 9405849600. Its totient is φ = 351682560.

The previous prime is 1966484501. The next prime is 1966484551. The reversal of 1966484520 is 254846691.

1966484520 is a `hidden beast` number, since 196 + 6 + 4 + 8 + 452 + 0 = 666.

It is a super-2 number, since 2×1966484520² = 7734122734799260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18378307 + ... + 18378413.

It is an arithmetic number, because the mean of its divisors is an integer number (9185400).

Almost surely, 2^1966484520 is an apocalyptic number.

1966484520 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 1966484520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

1966484520 is an abundant number, since it is smaller than the sum of its proper divisors (7439365080).

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

1966484520 is a wasteful number, since it uses less digits than its factorization.

1966484520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1966484520 is about 44345.0619573364. The cubic root of 1966484520 is about 1252.8435573734.

The spelling of 1966484520 in words is "one billion, nine hundred sixty-six million, four hundred eighty-four thousand, five hundred twenty".