430890379920 has 2240 divisors, whose sum is σ = 2066730720768. Its totient is φ = 81293414400.

The previous prime is 430890379919. The next prime is 430890379921. The reversal of 430890379920 is 29973098034.

430890379920 is a `hidden beast` number, since 430 + 8 + 90 + 37 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (430890379919) and next prime (430890379921).

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

It is not an unprimeable number, because it can be changed into a prime (430890379921) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7063776690 + ... + 7063776750.

Almost surely, 2^430890379920 is an apocalyptic number.

430890379920 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 430890379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033365360384).

430890379920 is an abundant number, since it is smaller than the sum of its proper divisors (1635840340848).

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

430890379920 is a wasteful number, since it uses less digits than its factorization.

430890379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 430890379920 in words is "four hundred thirty billion, eight hundred ninety million, three hundred seventy-nine thousand, nine hundred twenty".