211253420 has 24 divisors (see below), whose sum is σ = 507008544. Its totient is φ = 72429696.

The previous prime is 211253377. The next prime is 211253423. The reversal of 211253420 is 24352112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211253392 and 211253401.

It is not an unprimeable number, because it can be changed into a prime (211253423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754337 + ... + 754616.

It is an arithmetic number, because the mean of its divisors is an integer number (21125356).

Almost surely, 2^211253420 is an apocalyptic number.

211253420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211253420 is an abundant number, since it is smaller than the sum of its proper divisors (295755124).

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

211253420 is a wasteful number, since it uses less digits than its factorization.

211253420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508969 (or 1508967 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 211253420 is about 14534.5595048491. The cubic root of 211253420 is about 595.5724265402.

The spelling of 211253420 in words is "two hundred eleven million, two hundred fifty-three thousand, four hundred twenty".