429437088 has 72 divisors (see below), whose sum is σ = 1285502400. Its totient is φ = 135609984.

The previous prime is 429437081. The next prime is 429437093. The reversal of 429437088 is 880734924.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (429437081) by changing a digit.

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, 33768 + ... + 44711.

It is an arithmetic number, because the mean of its divisors is an integer number (17854200).

Almost surely, 2^429437088 is an apocalyptic number.

429437088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429437088 is an abundant number, since it is smaller than the sum of its proper divisors (856065312).

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

429437088 is a wasteful number, since it uses less digits than its factorization.

429437088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78514 (or 78503 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 429437088 is about 20722.8638947420. The cubic root of 429437088 is about 754.4547255077.

The spelling of 429437088 in words is "four hundred twenty-nine million, four hundred thirty-seven thousand, eighty-eight".