213900480 has 224 divisors, whose sum is σ = 794918400. Its totient is φ = 53996544.

The previous prime is 213900469. The next prime is 213900517. The reversal of 213900480 is 84009312.

213900480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163509 + ... + 164811.

Almost surely, 2^213900480 is an apocalyptic number.

213900480 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 213900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397459200).

213900480 is an abundant number, since it is smaller than the sum of its proper divisors (581017920).

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

213900480 is a wasteful number, since it uses less digits than its factorization.

213900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 213900480 is about 14625.3369191961. The cubic root of 213900480 is about 598.0496672058.

Adding to 213900480 its reverse (84009312), we get a palindrome (297909792).

The spelling of 213900480 in words is "two hundred thirteen million, nine hundred thousand, four hundred eighty".