1964894400 has 504 divisors, whose sum is σ = 8102157024. Its totient is φ = 442368000.

The previous prime is 1964894381. The next prime is 1964894401. The reversal of 1964894400 is 44984691.

It is a tau number, because it is divible by the number of its divisors (504).

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 (1964894401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10180704 + ... + 10180896.

Almost surely, 2^1964894400 is an apocalyptic number.

1964894400 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 1964894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051078512).

1964894400 is an abundant number, since it is smaller than the sum of its proper divisors (6137262624).

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

1964894400 is a wasteful number, since it uses less digits than its factorization.

1964894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1964894400 is about 44327.1293904760. The cubic root of 1964894400 is about 1252.5057788348.

The spelling of 1964894400 in words is "one billion, nine hundred sixty-four million, eight hundred ninety-four thousand, four hundred".