213454040 has 64 divisors (see below), whose sum is σ = 514382400. Its totient is φ = 79433728.

The previous prime is 213454019. The next prime is 213454051. The reversal of 213454040 is 40454312.

It is a junction number, because it is equal to n+sod(n) for n = 213453997 and 213454015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58757 + ... + 62283.

It is an arithmetic number, because the mean of its divisors is an integer number (8037225).

Almost surely, 2^213454040 is an apocalyptic number.

213454040 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 213454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257191200).

213454040 is an abundant number, since it is smaller than the sum of its proper divisors (300928360).

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

213454040 is a wasteful number, since it uses less digits than its factorization.

213454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 213454040 is about 14610.0663927307. The cubic root of 213454040 is about 597.6333065073.

The spelling of 213454040 in words is "two hundred thirteen million, four hundred fifty-four thousand, forty".