429780000 has 480 divisors, whose sum is σ = 1653220800. Its totient is φ = 96768000.

The previous prime is 429779993. The next prime is 429780007. The reversal of 429780000 is 87924.

It is an interprime number because it is at equal distance from previous prime (429779993) and next prime (429780007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 429780000.

It is not an unprimeable number, because it can be changed into a prime (429780007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14819986 + ... + 14820014.

It is an arithmetic number, because the mean of its divisors is an integer number (3444210).

Almost surely, 2^429780000 is an apocalyptic number.

429780000 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 429780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826610400).

429780000 is an abundant number, since it is smaller than the sum of its proper divisors (1223440800).

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

429780000 is a wasteful number, since it uses less digits than its factorization.

429780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 429780000 is about 20731.1360036058. The cubic root of 429780000 is about 754.6554865776.

The spelling of 429780000 in words is "four hundred twenty-nine million, seven hundred eighty thousand".