430728480 has 576 divisors, whose sum is σ = 1915280640. Its totient is φ = 85598208.

The previous prime is 430728451. The next prime is 430728517. The reversal of 430728480 is 84827034.

430728480 = 228² + 229² + ... + 1092².

430728480 is a `hidden beast` number, since 430 + 72 + 84 + 80 = 666.

It is a super-2 number, since 2×430728480² = 371054046966220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489674 + ... + 2489846.

It is an arithmetic number, because the mean of its divisors is an integer number (3325140).

Almost surely, 2^430728480 is an apocalyptic number.

430728480 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 430728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957640320).

430728480 is an abundant number, since it is smaller than the sum of its proper divisors (1484552160).

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

430728480 is a wasteful number, since it uses less digits than its factorization.

430728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

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

The square root of 430728480 is about 20753.9991326973. Note that the first 3 decimals coincide. The cubic root of 430728480 is about 755.2102275559.

Adding to 430728480 its sum of digits (36), we get a square (430728516 = 20754²).

The spelling of 430728480 in words is "four hundred thirty million, seven hundred twenty-eight thousand, four hundred eighty".