212746040 has 128 divisors (see below), whose sum is σ = 553089600. Its totient is φ = 72990720.

The previous prime is 212746031. The next prime is 212746049. The reversal of 212746040 is 40647212.

It is an interprime number because it is at equal distance from previous prime (212746031) and next prime (212746049).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212746049) 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, 602504 + ... + 602856.

Almost surely, 2^212746040 is an apocalyptic number.

212746040 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 212746040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276544800).

212746040 is an abundant number, since it is smaller than the sum of its proper divisors (340343560).

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

212746040 is a wasteful number, since it uses less digits than its factorization.

212746040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 212746040 is about 14585.8163981314. The cubic root of 212746040 is about 596.9718166277.

The spelling of 212746040 in words is "two hundred twelve million, seven hundred forty-six thousand, forty".