212729440 has 192 divisors, whose sum is σ = 647958528. Its totient is φ = 64051200.

The previous prime is 212729431. The next prime is 212729467. The reversal of 212729440 is 44927212.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381642 + ... + 382198.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^212729440 is an apocalyptic number.

212729440 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 212729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323979264).

212729440 is an abundant number, since it is smaller than the sum of its proper divisors (435229088).

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

212729440 is a wasteful number, since it uses less digits than its factorization.

212729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 212729440 is about 14585.2473410635. The cubic root of 212729440 is about 596.9562895234.

The spelling of 212729440 in words is "two hundred twelve million, seven hundred twenty-nine thousand, four hundred forty".