213963480 has 96 divisors (see below), whose sum is σ = 725643360. Its totient is φ = 54574080.

The previous prime is 213963437. The next prime is 213963499. The reversal of 213963480 is 84369312.

213963480 is a `hidden beast` number, since 2 + 13 + 9 + 634 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4641 + ... + 21200.

It is an arithmetic number, because the mean of its divisors is an integer number (7558785).

Almost surely, 2^213963480 is an apocalyptic number.

213963480 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 213963480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362821680).

213963480 is an abundant number, since it is smaller than the sum of its proper divisors (511679880).

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

213963480 is a wasteful number, since it uses less digits than its factorization.

213963480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25881 (or 25874 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 213963480 is about 14627.4905571667. The cubic root of 213963480 is about 598.1083758642.

The spelling of 213963480 in words is "two hundred thirteen million, nine hundred sixty-three thousand, four hundred eighty".