424000000 has 140 divisors (see below), whose sum is σ = 1078931502. Its totient is φ = 166400000.

The previous prime is 423999973. The next prime is 424000013. The reversal of 424000000 is 424.

It can be written as a sum of positive squares in 7 ways, for example, as 177635584 + 246364416 = 13328^2 + 15696^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 13 ways as a sum of consecutive naturals, for example, 7999974 + ... + 8000026.

Almost surely, 2^424000000 is an apocalyptic number.

424000000 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 424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539465751).

424000000 is an abundant number, since it is smaller than the sum of its proper divisors (654931502).

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

424000000 is an frugal number, since it uses more digits than its factorization.

424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 424000000 is about 20591.2602819740. The cubic root of 424000000 is about 751.2571508442.

Adding to 424000000 its reverse (424), we get a palindrome (424000424).

Multiplying 424000000 by its reverse (424), we get a square (179776000000 = 424000²).

424000000 divided by its reverse (424) gives a 6-th power (1000000 = 10⁶).

The spelling of 424000000 in words is "four hundred twenty-four million", and thus it is an aban number.