829452960 has 480 divisors, whose sum is σ = 3442424832. Its totient is φ = 184135680.

The previous prime is 829452941. The next prime is 829452971. The reversal of 829452960 is 69254928.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3719409 + ... + 3719631.

Almost surely, 2^829452960 is an apocalyptic number.

829452960 is a gapful number since it is divisible by the number (80) 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 829452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721212416).

829452960 is an abundant number, since it is smaller than the sum of its proper divisors (2612971872).

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

829452960 is a wasteful number, since it uses less digits than its factorization.

829452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 829452960 is about 28800.2249991211. The cubic root of 829452960 is about 939.5731274396.

It can be divided in two parts, 82945 and 2960, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 829452960 in words is "eight hundred twenty-nine million, four hundred fifty-two thousand, nine hundred sixty".