212946048 has 96 divisors (see below), whose sum is σ = 700340160. Its totient is φ = 60839424.

The previous prime is 212946047. The next prime is 212946061. The reversal of 212946048 is 840649212.

212946048 is a `hidden beast` number, since 21 + 29 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (212946047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5140 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (7295210).

Almost surely, 2^212946048 is an apocalyptic number.

212946048 is a gapful number since it is divisible by the number (28) 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 212946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350170080).

212946048 is an abundant number, since it is smaller than the sum of its proper divisors (487394112).

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

212946048 is a wasteful number, since it uses less digits than its factorization.

212946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26434 (or 26419 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 212946048 is about 14592.6710372022. The cubic root of 212946048 is about 597.1588341971.

The spelling of 212946048 in words is "two hundred twelve million, nine hundred forty-six thousand, forty-eight".