215424972 has 108 divisors (see below), whose sum is σ = 640490760. Its totient is φ = 60867072.

The previous prime is 215424961. The next prime is 215424973. The reversal of 215424972 is 279424512.

215424972 is a `hidden beast` number, since 2 + 1 + 542 + 49 + 72 = 666.

It is a super-2 number, since 2×215424972² = 92815837122401568, which contains 22 as substring.

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 (215424973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170479 + ... + 171737.

It is an arithmetic number, because the mean of its divisors is an integer number (5930470).

Almost surely, 2^215424972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215424972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320245380).

215424972 is an abundant number, since it is smaller than the sum of its proper divisors (425065788).

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

215424972 is a wasteful number, since it uses less digits than its factorization.

215424972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 215424972 is about 14677.3625696172. The cubic root of 215424972 is about 599.4670934912.

The spelling of 215424972 in words is "two hundred fifteen million, four hundred twenty-four thousand, nine hundred seventy-two".