215238400 has 162 divisors, whose sum is σ = 579780600. Its totient is φ = 79073280.

The previous prime is 215238337. The next prime is 215238407. The reversal of 215238400 is 4832512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215238407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1081501 + ... + 1081699.

Almost surely, 2^215238400 is an apocalyptic number.

215238400 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 215238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289890300).

215238400 is an abundant number, since it is smaller than the sum of its proper divisors (364542200).

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

215238400 is a wasteful number, since it uses less digits than its factorization.

215238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 215238400 is about 14671.0054188525. The cubic root of 215238400 is about 599.2939843772.

The spelling of 215238400 in words is "two hundred fifteen million, two hundred thirty-eight thousand, four hundred".