705429504 has 228 divisors, whose sum is σ = 2290085616. Its totient is φ = 207618048.

The previous prime is 705429499. The next prime is 705429509. The reversal of 705429504 is 405924507.

It is an interprime number because it is at equal distance from previous prime (705429499) and next prime (705429509).

It is a super-2 number, since 2×705429504² = 995261570227372032, 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 not an unprimeable number, because it can be changed into a prime (705429509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30670837 + ... + 30670859.

Almost surely, 2^705429504 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 705429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145042808).

705429504 is an abundant number, since it is smaller than the sum of its proper divisors (1584656112).

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

705429504 is an equidigital number, since it uses as much as digits as its factorization.

705429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 705429504 is about 26559.9228914543. The cubic root of 705429504 is about 890.1937481654.

The spelling of 705429504 in words is "seven hundred five million, four hundred twenty-nine thousand, five hundred four".