429076480 has 208 divisors, whose sum is σ = 1221966144. Its totient is φ = 141557760.

The previous prime is 429076469. The next prime is 429076511. The reversal of 429076480 is 84670924.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5877724 + ... + 5877796.

Almost surely, 2^429076480 is an apocalyptic number.

429076480 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 429076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610983072).

429076480 is an abundant number, since it is smaller than the sum of its proper divisors (792889664).

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

429076480 is an equidigital number, since it uses as much as digits as its factorization.

429076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 429076480 is about 20714.1613395281. The cubic root of 429076480 is about 754.2434888252.

The spelling of 429076480 in words is "four hundred twenty-nine million, seventy-six thousand, four hundred eighty".