826152480 has 288 divisors, whose sum is σ = 3002832000. Its totient is φ = 212129280.

The previous prime is 826152409. The next prime is 826152491. The reversal of 826152480 is 84251628.

826152480 is a `hidden beast` number, since 8 + 26 + 152 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4151421 + ... + 4151619.

It is an arithmetic number, because the mean of its divisors is an integer number (10426500).

Almost surely, 2^826152480 is an apocalyptic number.

826152480 is a gapful number since it is divisible by the number (80) 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 826152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501416000).

826152480 is an abundant number, since it is smaller than the sum of its proper divisors (2176679520).

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

826152480 is a wasteful number, since it uses less digits than its factorization.

826152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 826152480 is about 28742.8683328578. The cubic root of 826152480 is about 938.3252509451.

The spelling of 826152480 in words is "eight hundred twenty-six million, one hundred fifty-two thousand, four hundred eighty".