1952435904 has 112 divisors (see below), whose sum is σ = 5394655200. Its totient is φ = 622411776.

The previous prime is 1952435861. The next prime is 1952435917. The reversal of 1952435904 is 4095342591.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605304 + ... + 608520.

Almost surely, 2^1952435904 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 1952435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697327600).

1952435904 is an abundant number, since it is smaller than the sum of its proper divisors (3442219296).

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

1952435904 is a wasteful number, since it uses less digits than its factorization.

1952435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 1952435904 is about 44186.3769051050. The cubic root of 1952435904 is about 1249.8529755611.

The spelling of 1952435904 in words is "one billion, nine hundred fifty-two million, four hundred thirty-five thousand, nine hundred four".