424052000 has 48 divisors (see below), whose sum is σ = 1041905592. Its totient is φ = 169619200.

The previous prime is 424051997. The next prime is 424052003. The reversal of 424052000 is 250424.

It is an interprime number because it is at equal distance from previous prime (424051997) and next prime (424052003).

It can be written as a sum of positive squares in 4 ways, for example, as 102495376 + 321556624 = 10124^2 + 17932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 424052000.

It is not an unprimeable number, because it can be changed into a prime (424052003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49007 + ... + 57006.

Almost surely, 2^424052000 is an apocalyptic number.

424052000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424052000 is an abundant number, since it is smaller than the sum of its proper divisors (617853592).

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

424052000 is a wasteful number, since it uses less digits than its factorization.

424052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106038 (or 106020 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 424052000 is about 20592.5229148835. The cubic root of 424052000 is about 751.2878613591.

The spelling of 424052000 in words is "four hundred twenty-four million, fifty-two thousand".