424535040 has 352 divisors, whose sum is σ = 1568165760. Its totient is φ = 108822528.

The previous prime is 424535039. The next prime is 424535063. The reversal of 424535040 is 40535424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 424534995 and 424535013.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5114839 + ... + 5114921.

Almost surely, 2^424535040 is an apocalyptic number.

424535040 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 424535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784082880).

424535040 is an abundant number, since it is smaller than the sum of its proper divisors (1143630720).

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

424535040 is a wasteful number, since it uses less digits than its factorization.

424535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 424535040 is about 20604.2481056699. The cubic root of 424535040 is about 751.5730185105.

The spelling of 424535040 in words is "four hundred twenty-four million, five hundred thirty-five thousand, forty".