214753480 has 32 divisors (see below), whose sum is σ = 484056000. Its totient is φ = 85748416.

The previous prime is 214753463. The next prime is 214753493. The reversal of 214753480 is 84357412.

It is a super-2 number, since 2×214753480² = 92238114344220800, which contains 22 as substring.

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, 19479 + ... + 28441.

It is an arithmetic number, because the mean of its divisors is an integer number (15126750).

Almost surely, 2^214753480 is an apocalyptic number.

214753480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214753480 is an abundant number, since it is smaller than the sum of its proper divisors (269302520).

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

214753480 is a wasteful number, since it uses less digits than its factorization.

214753480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9573 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 214753480 is about 14654.4696253396. The cubic root of 214753480 is about 598.8435874300.

The spelling of 214753480 in words is "two hundred fourteen million, seven hundred fifty-three thousand, four hundred eighty".