419725680 has 160 divisors (see below), whose sum is σ = 1429194240. Its totient is φ = 101053440.

The previous prime is 419725673. The next prime is 419725687. The reversal of 419725680 is 86527914.

It is an interprime number because it is at equal distance from previous prime (419725673) and next prime (419725687).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419725687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456261 + ... + 457179.

It is an arithmetic number, because the mean of its divisors is an integer number (8932464).

Almost surely, 2^419725680 is an apocalyptic number.

419725680 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 419725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714597120).

419725680 is an abundant number, since it is smaller than the sum of its proper divisors (1009468560).

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

419725680 is a wasteful number, since it uses less digits than its factorization.

419725680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 419725680 is about 20487.2077160359. The cubic root of 419725680 is about 748.7241597618.

The spelling of 419725680 in words is "four hundred nineteen million, seven hundred twenty-five thousand, six hundred eighty".