430245552000 has 256 divisors, whose sum is σ = 1555926278400. Its totient is φ = 104301824000.

The previous prime is 430245551987. The next prime is 430245552029. The reversal of 430245552000 is 255542034.

It is a super-2 number, since 2×430245552000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120571 + ... + 935429.

It is an arithmetic number, because the mean of its divisors is an integer number (6077837025).

Almost surely, 2^430245552000 is an apocalyptic number.

430245552000 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 430245552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777963139200).

430245552000 is an abundant number, since it is smaller than the sum of its proper divisors (1125680726400).

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

430245552000 is a wasteful number, since it uses less digits than its factorization.

430245552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814902 (or 814880 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 430245552000 in words is "four hundred thirty billion, two hundred forty-five million, five hundred fifty-two thousand".