220676400 has 450 divisors, whose sum is σ = 927922380. Its totient is φ = 50077440.

The previous prime is 220676389. The next prime is 220676411. The reversal of 220676400 is 4676022.

It is an interprime number because it is at equal distance from previous prime (220676389) and next prime (220676411).

It is a tau number, because it is divible by the number of its divisors (450).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587531 + ... + 1587669.

Almost surely, 2^220676400 is an apocalyptic number.

220676400 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 220676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463961190).

220676400 is an abundant number, since it is smaller than the sum of its proper divisors (707245980).

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

220676400 is a wasteful number, since it uses less digits than its factorization.

220676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 220676400 is about 14855.1809144150. The cubic root of 220676400 is about 604.2991223393.

It can be divided in two parts, 2206 and 76400, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 220676400 in words is "two hundred twenty million, six hundred seventy-six thousand, four hundred".