429480480 has 192 divisors, whose sum is σ = 1589632128. Its totient is φ = 96092160.

The previous prime is 429480463. The next prime is 429480521. The reversal of 429480480 is 84084924.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65512 + ... + 71768.

It is an arithmetic number, because the mean of its divisors is an integer number (8279334).

Almost surely, 2^429480480 is an apocalyptic number.

429480480 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 429480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794816064).

429480480 is an abundant number, since it is smaller than the sum of its proper divisors (1160151648).

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

429480480 is a wasteful number, since it uses less digits than its factorization.

429480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 429480480 is about 20723.9108278336. The cubic root of 429480480 is about 754.4801356689.

The spelling of 429480480 in words is "four hundred twenty-nine million, four hundred eighty thousand, four hundred eighty".