829420416 has 384 divisors, whose sum is σ = 2811650400. Its totient is φ = 232243200.

The previous prime is 829420409. The next prime is 829420441. The reversal of 829420416 is 614024928.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×829420416² = 1375876452955226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13597026 + ... + 13597086.

Almost surely, 2^829420416 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 829420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405825200).

829420416 is an abundant number, since it is smaller than the sum of its proper divisors (1982229984).

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

829420416 is a wasteful number, since it uses less digits than its factorization.

829420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 829420416 is about 28799.6599979930. The cubic root of 829420416 is about 939.5608390723.

The spelling of 829420416 in words is "eight hundred twenty-nine million, four hundred twenty thousand, four hundred sixteen".