424629216 has 240 divisors, whose sum is σ = 1392996528. Its totient is φ = 125798400.

The previous prime is 424629211. The next prime is 424629221. The reversal of 424629216 is 612926424.

424629216 is a `hidden beast` number, since 4 + 2 + 4 + 629 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (424629211) and next prime (424629221).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424629211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1510996 + ... + 1511276.

Almost surely, 2^424629216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424629216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696498264).

424629216 is an abundant number, since it is smaller than the sum of its proper divisors (968367312).

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

424629216 is a wasteful number, since it uses less digits than its factorization.

424629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 424629216 is about 20606.5333329020. The cubic root of 424629216 is about 751.6285890373.

The spelling of 424629216 in words is "four hundred twenty-four million, six hundred twenty-nine thousand, two hundred sixteen".