429042816 has 96 divisors (see below), whose sum is σ = 1244477520. Its totient is φ = 141872640.

The previous prime is 429042799. The next prime is 429042833. The reversal of 429042816 is 618240924.

It is an interprime number because it is at equal distance from previous prime (429042799) and next prime (429042833).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×429042816² = 368155475922419712, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149491 + ... + 152333.

Almost surely, 2^429042816 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 429042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622238760).

429042816 is an abundant number, since it is smaller than the sum of its proper divisors (815434704).

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

429042816 is a wasteful number, since it uses less digits than its factorization.

429042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2979 counting only the distinct ones).

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

The square root of 429042816 is about 20713.3487393999. The cubic root of 429042816 is about 754.2237631134.

The spelling of 429042816 in words is "four hundred twenty-nine million, forty-two thousand, eight hundred sixteen".