213420744 has 160 divisors (see below), whose sum is σ = 635758200. Its totient is φ = 66769920.

The previous prime is 213420743. The next prime is 213420793. The reversal of 213420744 is 447024312.

It can be written as a sum of positive squares in 4 ways, for example, as 94828644 + 118592100 = 9738^2 + 10890^2 .

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 (213420743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 770334 + ... + 770610.

Almost surely, 2^213420744 is an apocalyptic number.

213420744 is a gapful number since it is divisible by the number (24) 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 213420744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317879100).

213420744 is an abundant number, since it is smaller than the sum of its proper divisors (422337456).

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

213420744 is a wasteful number, since it uses less digits than its factorization.

213420744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 213420744 is about 14608.9268599716. The cubic root of 213420744 is about 597.6022306009.

The spelling of 213420744 in words is "two hundred thirteen million, four hundred twenty thousand, seven hundred forty-four".