1964404224 has 280 divisors, whose sum is σ = 6216852840. Its totient is φ = 618098688.

The previous prime is 1964404219. The next prime is 1964404241. The reversal of 1964404224 is 4224044691.

It is a happy number.

1964404224 is a `hidden beast` number, since 1 + 9 + 644 + 0 + 4 + 2 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 7091574 + ... + 7091850.

Almost surely, 2^1964404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108426420).

1964404224 is an abundant number, since it is smaller than the sum of its proper divisors (4252448616).

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

1964404224 is an frugal number, since it uses more digits than its factorization.

1964404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1964404224 is about 44321.5999711202. The cubic root of 1964404224 is about 1252.4016172858.

The spelling of 1964404224 in words is "one billion, nine hundred sixty-four million, four hundred four thousand, two hundred twenty-four".