429032448 has 132 divisors (see below), whose sum is σ = 1334488428. Its totient is φ = 131973120.

The previous prime is 429032447. The next prime is 429032473. The reversal of 429032448 is 844230924.

429032448 is a `hidden beast` number, since 4 + 290 + 324 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 227165184 + 201867264 = 15072^2 + 14208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (429032441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118018 + ... + 121598.

Almost surely, 2^429032448 is an apocalyptic number.

429032448 is a gapful number since it is divisible by the number (48) 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 429032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667244214).

429032448 is an abundant number, since it is smaller than the sum of its proper divisors (905455980).

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

429032448 is a wasteful number, since it uses less digits than its factorization.

429032448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 429032448 is about 20713.0984644983. The cubic root of 429032448 is about 754.2176876864.

The spelling of 429032448 in words is "four hundred twenty-nine million, thirty-two thousand, four hundred forty-eight".