430978391280 has 800 divisors, whose sum is σ = 1581126801408. Its totient is φ = 108689817600.

The previous prime is 430978391279. The next prime is 430978391339. The reversal of 430978391280 is 82193879034.

430978391280 is a `hidden beast` number, since 430 + 9 + 7 + 83 + 9 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1788291960 + ... + 1788292200.

Almost surely, 2^430978391280 is an apocalyptic number.

430978391280 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 430978391280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790563400704).

430978391280 is an abundant number, since it is smaller than the sum of its proper divisors (1150148410128).

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

430978391280 is a wasteful number, since it uses less digits than its factorization.

430978391280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 430978391280 in words is "four hundred thirty billion, nine hundred seventy-eight million, three hundred ninety-one thousand, two hundred eighty".