213462040 has 64 divisors (see below), whose sum is σ = 542052000. Its totient is φ = 74941440.

The previous prime is 213462037. The next prime is 213462049. The reversal of 213462040 is 40264312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213462049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4396 + ... + 21124.

Almost surely, 2^213462040 is an apocalyptic number.

213462040 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 213462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271026000).

213462040 is an abundant number, since it is smaller than the sum of its proper divisors (328589960).

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

213462040 is a wasteful number, since it uses less digits than its factorization.

213462040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16780 (or 16776 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 213462040 is about 14610.3401740001. The cubic root of 213462040 is about 597.6407726059.

The spelling of 213462040 in words is "two hundred thirteen million, four hundred sixty-two thousand, forty".