424292040 has 512 divisors, whose sum is σ = 1658880000. Its totient is φ = 95800320.

The previous prime is 424291999. The next prime is 424292081. The reversal of 424292040 is 40292424.

It is an interprime number because it is at equal distance from previous prime (424291999) and next prime (424292081).

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 = 424291995 and 424292013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13686825 + ... + 13686855.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2^424292040 is an apocalyptic number.

424292040 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 424292040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440000).

424292040 is an abundant number, since it is smaller than the sum of its proper divisors (1234587960).

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

424292040 is a wasteful number, since it uses less digits than its factorization.

424292040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 424292040 is about 20598.3504193904. The cubic root of 424292040 is about 751.4295932860.

The spelling of 424292040 in words is "four hundred twenty-four million, two hundred ninety-two thousand, forty".