429778944 has 144 divisors (see below), whose sum is σ = 1419032160. Its totient is φ = 122757120.

The previous prime is 429778931. The next prime is 429778969. The reversal of 429778944 is 449877924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127359 + ... + 130689.

It is an arithmetic number, because the mean of its divisors is an integer number (9854390).

Almost surely, 2^429778944 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 429778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709516080).

429778944 is an abundant number, since it is smaller than the sum of its proper divisors (989253216).

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

429778944 is a wasteful number, since it uses less digits than its factorization.

429778944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3343 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 429778944 is about 20731.1105346530. The cubic root of 429778944 is about 754.6548684964.

The spelling of 429778944 in words is "four hundred twenty-nine million, seven hundred seventy-eight thousand, nine hundred forty-four".