152826408 has 96 divisors (see below), whose sum is σ = 474926400. Its totient is φ = 43490304.

The previous prime is 152826403. The next prime is 152826409. The reversal of 152826408 is 804628251.

152826408 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 2 + 640 + 8 = 666.

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 (152826403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177483 + ... + 178341.

It is an arithmetic number, because the mean of its divisors is an integer number (4947150).

Almost surely, 2^152826408 is an apocalyptic number.

152826408 is a gapful number since it is divisible by the number (18) 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 152826408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237463200).

152826408 is an abundant number, since it is smaller than the sum of its proper divisors (322099992).

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

152826408 is a wasteful number, since it uses less digits than its factorization.

152826408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

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

The square root of 152826408 is about 12362.2978446566. The cubic root of 152826408 is about 534.6457701120.

The spelling of 152826408 in words is "one hundred fifty-two million, eight hundred twenty-six thousand, four hundred eight".