1961232400 has 30 divisors (see below), whose sum is σ = 4711861802. Its totient is φ = 784492800.

The previous prime is 1961232389. The next prime is 1961232419. The reversal of 1961232400 is 42321691.

It can be written as a sum of positive squares in 3 ways, for example, as 414855424 + 1546376976 = 20368^2 + 39324^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2451141 + ... + 2451940.

Almost surely, 2^1961232400 is an apocalyptic number.

1961232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1961232400 is an abundant number, since it is smaller than the sum of its proper divisors (2750629402).

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

1961232400 is a wasteful number, since it uses less digits than its factorization.

1961232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903099 (or 4903088 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1961232400 is about 44285.8035943800. The cubic root of 1961232400 is about 1251.7271910164.

The spelling of 1961232400 in words is "one billion, nine hundred sixty-one million, two hundred thirty-two thousand, four hundred".