220751460 has 192 divisors, whose sum is σ = 736646400. Its totient is φ = 54687744.

The previous prime is 220751459. The next prime is 220751467. The reversal of 220751460 is 64157022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220751467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1275934 + ... + 1276106.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2^220751460 is an apocalyptic number.

220751460 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 220751460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368323200).

220751460 is an abundant number, since it is smaller than the sum of its proper divisors (515894940).

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

220751460 is a wasteful number, since it uses less digits than its factorization.

220751460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 220751460 is about 14857.7070909343. The cubic root of 220751460 is about 604.3676292124.

The spelling of 220751460 in words is "two hundred twenty million, seven hundred fifty-one thousand, four hundred sixty".