424149440 has 336 divisors, whose sum is σ = 1285134336. Its totient is φ = 131788800.

The previous prime is 424149433. The next prime is 424149493. The reversal of 424149440 is 44941424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 424149397 and 424149406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13682225 + ... + 13682255.

Almost surely, 2^424149440 is an apocalyptic number.

424149440 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 424149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642567168).

424149440 is an abundant number, since it is smaller than the sum of its proper divisors (860984896).

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

424149440 is a wasteful number, since it uses less digits than its factorization.

424149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 424149440 is about 20594.8886862736. Note that the first 3 decimals coincide. The cubic root of 424149440 is about 751.3454013800.

The spelling of 424149440 in words is "four hundred twenty-four million, one hundred forty-nine thousand, four hundred forty".