215156480 has 288 divisors, whose sum is σ = 671086080. Its totient is φ = 64143360.

The previous prime is 215156449. The next prime is 215156507. The reversal of 215156480 is 84651512.

It is a super-3 number, since 3×215156480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646691 + ... + 3646749.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2^215156480 is an apocalyptic number.

215156480 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 215156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

215156480 is an abundant number, since it is smaller than the sum of its proper divisors (455929600).

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

215156480 is a wasteful number, since it uses less digits than its factorization.

215156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 215156480 is about 14668.2132517904. The cubic root of 215156480 is about 599.2179440533.

The spelling of 215156480 in words is "two hundred fifteen million, one hundred fifty-six thousand, four hundred eighty".