430248780 has 192 divisors, whose sum is σ = 1454100480. Its totient is φ = 104986368.

The previous prime is 430248737. The next prime is 430248803. The reversal of 430248780 is 87842034.

It is a super-2 number, since 2×430248780² = 370228025382976800, which contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1172157 + ... + 1172523.

It is an arithmetic number, because the mean of its divisors is an integer number (7573440).

Almost surely, 2^430248780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430248780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727050240).

430248780 is an abundant number, since it is smaller than the sum of its proper divisors (1023851700).

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

430248780 is a wasteful number, since it uses less digits than its factorization.

430248780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 430248780 is about 20742.4391044062. The cubic root of 430248780 is about 754.9297655526.

The spelling of 430248780 in words is "four hundred thirty million, two hundred forty-eight thousand, seven hundred eighty".