85429476 has 144 divisors (see below), whose sum is σ = 250810560. Its totient is φ = 24272640.

The previous prime is 85429451. The next prime is 85429483. The reversal of 85429476 is 67492458.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493726 + ... + 493898.

It is an arithmetic number, because the mean of its divisors is an integer number (1741740).

Almost surely, 2^85429476 is an apocalyptic number.

85429476 is a gapful number since it is divisible by the number (86) 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 85429476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125405280).

85429476 is an abundant number, since it is smaller than the sum of its proper divisors (165381084).

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

85429476 is a wasteful number, since it uses less digits than its factorization.

85429476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 85429476 is about 9242.8067165770. The cubic root of 85429476 is about 440.4222461768.

It can be divided in two parts, 85429 and 476, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85429476 in words is "eighty-five million, four hundred twenty-nine thousand, four hundred seventy-six".