220429440 has 576 divisors, whose sum is σ = 979542720. Its totient is φ = 45158400.

The previous prime is 220429427. The next prime is 220429457. The reversal of 220429440 is 44924022.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104605 + ... + 3104675.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^220429440 is an apocalyptic number.

220429440 is a gapful number since it is divisible by the number (20) 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 220429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489771360).

220429440 is an abundant number, since it is smaller than the sum of its proper divisors (759113280).

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

220429440 is a wasteful number, since it uses less digits than its factorization.

220429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

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

The square root of 220429440 is about 14846.8663360320. The cubic root of 220429440 is about 604.0736135298.

The spelling of 220429440 in words is "two hundred twenty million, four hundred twenty-nine thousand, four hundred forty".