215970480 has 360 divisors, whose sum is σ = 830998896. Its totient is φ = 50181120.

The previous prime is 215970479. The next prime is 215970487. The reversal of 215970480 is 84079512.

215970480 is a `hidden beast` number, since 21 + 597 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (215970487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3223407 + ... + 3223473.

Almost surely, 2^215970480 is an apocalyptic number.

215970480 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 215970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415499448).

215970480 is an abundant number, since it is smaller than the sum of its proper divisors (615028416).

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

215970480 is a wasteful number, since it uses less digits than its factorization.

215970480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 215970480 is about 14695.9341315889. The cubic root of 215970480 is about 599.9726654214.

The spelling of 215970480 in words is "two hundred fifteen million, nine hundred seventy thousand, four hundred eighty".