213954480 has 80 divisors (see below), whose sum is σ = 736961760. Its totient is φ = 57053952.

The previous prime is 213954479. The next prime is 213954491. The reversal of 213954480 is 84459312.

213954480 is a `hidden beast` number, since 2 + 1 + 39 + 544 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47367 + ... + 51686.

It is an arithmetic number, because the mean of its divisors is an integer number (9212022).

Almost surely, 2^213954480 is an apocalyptic number.

213954480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213954480 is an abundant number, since it is smaller than the sum of its proper divisors (523007280).

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

213954480 is a wasteful number, since it uses less digits than its factorization.

213954480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99075 (or 99063 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 213954480 is about 14627.1829140132. The cubic root of 213954480 is about 598.0999896186.

The spelling of 213954480 in words is "two hundred thirteen million, nine hundred fifty-four thousand, four hundred eighty".