424509840 has 120 divisors (see below), whose sum is σ = 1429366848. Its totient is φ = 112907520.

The previous prime is 424509821. The next prime is 424509857. The reversal of 424509840 is 48905424.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 424509795 and 424509804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523035 + ... + 523845.

Almost surely, 2^424509840 is an apocalyptic number.

424509840 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 424509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714683424).

424509840 is an abundant number, since it is smaller than the sum of its proper divisors (1004857008).

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

424509840 is a wasteful number, since it uses less digits than its factorization.

424509840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 424509840 is about 20603.6365722171. The cubic root of 424509840 is about 751.5581473275.

The spelling of 424509840 in words is "four hundred twenty-four million, five hundred nine thousand, eight hundred forty".