429680250000 has 945 divisors, whose sum is σ = 1658363128149. Its totient is φ = 103831200000.

The previous prime is 429680249993. The next prime is 429680250011. The reversal of 429680250000 is 52086924.

It is a happy number.

The square root of 429680250000 is 655500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 376441148304 + 53239101696 = 613548^2 + 230736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 18681749989 + ... + 18681750011.

Almost surely, 2^429680250000 is an apocalyptic number.

429680250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

429680250000 is the 655500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429680250000

429680250000 is an abundant number, since it is smaller than the sum of its proper divisors (1228682878149).

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

429680250000 is an equidigital number, since it uses as much as digits as its factorization.

429680250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 429680250000 by its sum of digits (36), we get a square (15468489000000 = 3933000²).

429680250000 divided by its sum of digits (36) gives a square (11935562500 = 109250²).

The spelling of 429680250000 in words is "four hundred twenty-nine billion, six hundred eighty million, two hundred fifty thousand".