1429331904 has 672 divisors, whose sum is σ = 5733751296. Its totient is φ = 328458240.

The previous prime is 1429331887. The next prime is 1429331909. The reversal of 1429331904 is 4091339241.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429331909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21333279 + ... + 21333345.

It is an arithmetic number, because the mean of its divisors is an integer number (8532368).

Almost surely, 2^1429331904 is an apocalyptic number.

1429331904 is a gapful number since it is divisible by the number (14) 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 1429331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866875648).

1429331904 is an abundant number, since it is smaller than the sum of its proper divisors (4304419392).

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

1429331904 is a wasteful number, since it uses less digits than its factorization.

1429331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1429331904 is about 37806.5061067536. The cubic root of 1429331904 is about 1126.4476912218.

It can be divided in two parts, 1429 and 331904, that added together give a palindrome (333333).

The spelling of 1429331904 in words is "one billion, four hundred twenty-nine million, three hundred thirty-one thousand, nine hundred four".