429379200 has 288 divisors, whose sum is σ = 1624098060. Its totient is φ = 107642880.

The previous prime is 429379193. The next prime is 429379207. The reversal of 429379200 is 2973924.

It is an interprime number because it is at equal distance from previous prime (429379193) and next prime (429379207).

It can be written as a sum of positive squares in 6 ways, for example, as 296115264 + 133263936 = 17208^2 + 11544^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (429379207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489162 + ... + 490038.

Almost surely, 2^429379200 is an apocalyptic number.

429379200 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 429379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812049030).

429379200 is an abundant number, since it is smaller than the sum of its proper divisors (1194718860).

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

429379200 is a wasteful number, since it uses less digits than its factorization.

429379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 429379200 is about 20721.4671295254. The cubic root of 429379200 is about 754.4208238887.

The spelling of 429379200 in words is "four hundred twenty-nine million, three hundred seventy-nine thousand, two hundred".