429090816 has 192 divisors, whose sum is σ = 1427811840. Its totient is φ = 111329280.

The previous prime is 429090797. The next prime is 429090821. The reversal of 429090816 is 618090924.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472635 + ... + 473541.

It is an arithmetic number, because the mean of its divisors is an integer number (7436520).

Almost surely, 2^429090816 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 429090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713905920).

429090816 is an abundant number, since it is smaller than the sum of its proper divisors (998721024).

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

429090816 is a wasteful number, since it uses less digits than its factorization.

429090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 429090816 is about 20714.5073800948. The cubic root of 429090816 is about 754.2518888150.

It can be divided in two parts, 4290908 and 16, that added together give a palindrome (4290924).

The spelling of 429090816 in words is "four hundred twenty-nine million, ninety thousand, eight hundred sixteen".