215648400 has 360 divisors, whose sum is σ = 824491872. Its totient is φ = 47616000.

The previous prime is 215648399. The next prime is 215648471. The reversal of 215648400 is 4846512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6956385 + ... + 6956415.

Almost surely, 2^215648400 is an apocalyptic number.

215648400 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 215648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412245936).

215648400 is an abundant number, since it is smaller than the sum of its proper divisors (608843472).

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

215648400 is a wasteful number, since it uses less digits than its factorization.

215648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 215648400 is about 14684.9719100855. The cubic root of 215648400 is about 599.6742676405.

The spelling of 215648400 in words is "two hundred fifteen million, six hundred forty-eight thousand, four hundred".