429226980 has 192 divisors, whose sum is σ = 1493237760. Its totient is φ = 89703936.

The previous prime is 429226877. The next prime is 429227003. The reversal of 429226980 is 89622924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693111 + ... + 693729.

It is an arithmetic number, because the mean of its divisors is an integer number (7777280).

Almost surely, 2^429226980 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 429226980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746618880).

429226980 is an abundant number, since it is smaller than the sum of its proper divisors (1064010780).

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

429226980 is a wasteful number, since it uses less digits than its factorization.

429226980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 429226980 is about 20717.7938014645. The cubic root of 429226980 is about 754.3316629862.

The spelling of 429226980 in words is "four hundred twenty-nine million, two hundred twenty-six thousand, nine hundred eighty".