429010400 has 288 divisors, whose sum is σ = 1322915328. Its totient is φ = 132249600.

The previous prime is 429010397. The next prime is 429010409. The reversal of 429010400 is 4010924.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429010409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5168759 + ... + 5168841.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2^429010400 is an apocalyptic number.

429010400 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 429010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661457664).

429010400 is an abundant number, since it is smaller than the sum of its proper divisors (893904928).

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

429010400 is a wasteful number, since it uses less digits than its factorization.

429010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 429010400 is about 20712.5662340522. The cubic root of 429010400 is about 754.2047677029.

The spelling of 429010400 in words is "four hundred twenty-nine million, ten thousand, four hundred".