961429504 has 120 divisors (see below), whose sum is σ = 2245981248. Its totient is φ = 403046400.

The previous prime is 961429499. The next prime is 961429517. The reversal of 961429504 is 405924169.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9519054 + ... + 9519154.

Almost surely, 2^961429504 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 961429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122990624).

961429504 is an abundant number, since it is smaller than the sum of its proper divisors (1284551744).

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

961429504 is an equidigital number, since it uses as much as digits as its factorization.

961429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 961429504 is about 31006.9267100111. The cubic root of 961429504 is about 986.9742341196.

The spelling of 961429504 in words is "nine hundred sixty-one million, four hundred twenty-nine thousand, five hundred four".