211450400 has 144 divisors (see below), whose sum is σ = 600586560. Its totient is φ = 71193600.

The previous prime is 211450399. The next prime is 211450423. The reversal of 211450400 is 4054112.

It is a super-2 number, since 2×211450400² = 89422543320320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341291 + ... + 341909.

It is an arithmetic number, because the mean of its divisors is an integer number (4170740).

Almost surely, 2^211450400 is an apocalyptic number.

211450400 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 211450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293280).

211450400 is an abundant number, since it is smaller than the sum of its proper divisors (389136160).

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

211450400 is a wasteful number, since it uses less digits than its factorization.

211450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 211450400 is about 14541.3341891313. The cubic root of 211450400 is about 595.7574798162.

The spelling of 211450400 in words is "two hundred eleven million, four hundred fifty thousand, four hundred".