424980445680 has 360 divisors, whose sum is σ = 1683636106464. Its totient is φ = 95769676800.

The previous prime is 424980445657. The next prime is 424980445711. The reversal of 424980445680 is 86544089424.

It is a happy number.

424980445680 is a `hidden beast` number, since 4 + 2 + 49 + 80 + 445 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2420050 + ... + 2589710.

Almost surely, 2^424980445680 is an apocalyptic number.

424980445680 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 424980445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841818053232).

424980445680 is an abundant number, since it is smaller than the sum of its proper divisors (1258655660784).

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

424980445680 is a wasteful number, since it uses less digits than its factorization.

424980445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169765 (or 169749 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 424980445680 in words is "four hundred twenty-four billion, nine hundred eighty million, four hundred forty-five thousand, six hundred eighty".