217398048 has 48 divisors (see below), whose sum is σ = 652196160. Its totient is φ = 62113536.

The previous prime is 217398029. The next prime is 217398061. The reversal of 217398048 is 840893712.

217398048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×217398048² = 94523822548420608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161083 + ... + 162426.

It is an arithmetic number, because the mean of its divisors is an integer number (13587420).

Almost surely, 2^217398048 is an apocalyptic number.

217398048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

217398048 is an abundant number, since it is smaller than the sum of its proper divisors (434798112).

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

217398048 is a wasteful number, since it uses less digits than its factorization.

217398048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323529 (or 323521 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 217398048 is about 14744.4243020879. The cubic root of 217398048 is about 601.2917060524.

The spelling of 217398048 in words is "two hundred seventeen million, three hundred ninety-eight thousand, forty-eight".