1966458420 has 72 divisors (see below), whose sum is σ = 5969134080. Its totient is φ = 524018880.

The previous prime is 1966458383. The next prime is 1966458421. The reversal of 1966458420 is 248546691.

1966458420 is a `hidden beast` number, since 1 + 9 + 6 + 64 + 584 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966458421) 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, 333861 + ... + 339699.

It is an arithmetic number, because the mean of its divisors is an integer number (82904640).

Almost surely, 2^1966458420 is an apocalyptic number.

1966458420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966458420 is an abundant number, since it is smaller than the sum of its proper divisors (4002675660).

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

1966458420 is a wasteful number, since it uses less digits than its factorization.

1966458420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7720 counting only the distinct ones).

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

The square root of 1966458420 is about 44344.7676733118. The cubic root of 1966458420 is about 1252.8380145954.

The spelling of 1966458420 in words is "one billion, nine hundred sixty-six million, four hundred fifty-eight thousand, four hundred twenty".