1964974400 has 42 divisors (see below), whose sum is σ = 4835069070. Its totient is φ = 785989120.

The previous prime is 1964974399. The next prime is 1964974411. The reversal of 1964974400 is 44794691.

It can be written as a sum of positive squares in 3 ways, for example, as 30382144 + 1934592256 = 5512^2 + 43984^2 .

It is a super-2 number, since 2×1964974400² = 7722248785310720000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 612455 + ... + 615654.

Almost surely, 2^1964974400 is an apocalyptic number.

1964974400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1964974400 is an abundant number, since it is smaller than the sum of its proper divisors (2870094670).

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

1964974400 is a wasteful number, since it uses less digits than its factorization.

1964974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228131 (or 1228116 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 1964974400 is about 44328.0317632083. The cubic root of 1964974400 is about 1252.5227770515.

It can be divided in two parts, 19649 and 74400, that added together give a palindrome (94049).

The spelling of 1964974400 in words is "one billion, nine hundred sixty-four million, nine hundred seventy-four thousand, four hundred".