213954048 has 400 divisors, whose sum is σ = 808055424. Its totient is φ = 54743040.

The previous prime is 213953989. The next prime is 213954049. The reversal of 213954048 is 840459312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213954049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193311 + ... + 3193377.

Almost surely, 2^213954048 is an apocalyptic number.

213954048 is a gapful number since it is divisible by the number (28) 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 213954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404027712).

213954048 is an abundant number, since it is smaller than the sum of its proper divisors (594101376).

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

213954048 is an equidigital number, since it uses as much as digits as its factorization.

213954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

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

The square root of 213954048 is about 14627.1681469791. The cubic root of 213954048 is about 598.0995870729.

The spelling of 213954048 in words is "two hundred thirteen million, nine hundred fifty-four thousand, forty-eight".