220462000 has 120 divisors (see below), whose sum is σ = 586587456. Its totient is φ = 80080000.

The previous prime is 220461979. The next prime is 220462009. The reversal of 220462000 is 264022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220462009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241545 + ... + 242455.

Almost surely, 2^220462000 is an apocalyptic number.

220462000 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 220462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293293728).

220462000 is an abundant number, since it is smaller than the sum of its proper divisors (366125456).

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

220462000 is a wasteful number, since it uses less digits than its factorization.

220462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 220462000 is about 14847.9628232293. The cubic root of 220462000 is about 604.1033549722.

The spelling of 220462000 in words is "two hundred twenty million, four hundred sixty-two thousand".