429914496 has 128 divisors (see below), whose sum is σ = 1319276160. Its totient is φ = 122593280.

The previous prime is 429914491. The next prime is 429914549. The reversal of 429914496 is 694419924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429914491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68815 + ... + 74801.

It is an arithmetic number, because the mean of its divisors is an integer number (10306845).

Almost surely, 2^429914496 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 429914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659638080).

429914496 is an abundant number, since it is smaller than the sum of its proper divisors (889361664).

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

429914496 is a wasteful number, since it uses less digits than its factorization.

429914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6020 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 429914496 is about 20734.3795663145. The cubic root of 429914496 is about 754.7341993752.

The spelling of 429914496 in words is "four hundred twenty-nine million, nine hundred fourteen thousand, four hundred ninety-six".