429923004480 has 224 divisors, whose sum is σ = 1522040745600. Its totient is φ = 114240374784.

The previous prime is 429923004479. The next prime is 429923004509. The reversal of 429923004480 is 84400329924.

It is a happy number.

It is a super-2 number, since 2×429923004480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357206 + ... + 2533034.

Almost surely, 2^429923004480 is an apocalyptic number.

429923004480 is a gapful number since it is divisible by the number (40) 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 429923004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761020372800).

429923004480 is an abundant number, since it is smaller than the sum of its proper divisors (1092117741120).

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

429923004480 is a wasteful number, since it uses less digits than its factorization.

429923004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176138 (or 176122 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 429923004480 in words is "four hundred twenty-nine billion, nine hundred twenty-three million, four thousand, four hundred eighty".