213773472 has 192 divisors, whose sum is σ = 690923520. Its totient is φ = 63763200.

The previous prime is 213773459. The next prime is 213773479. The reversal of 213773472 is 274377312.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (213773479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788697 + ... + 788967.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^213773472 is an apocalyptic number.

213773472 is a gapful number since it is divisible by the number (22) 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 213773472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760).

213773472 is an abundant number, since it is smaller than the sum of its proper divisors (477150048).

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

213773472 is a wasteful number, since it uses less digits than its factorization.

213773472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 213773472 is about 14620.9942206404. The cubic root of 213773472 is about 597.9312754958.

The spelling of 213773472 in words is "two hundred thirteen million, seven hundred seventy-three thousand, four hundred seventy-two".