752226408 has 96 divisors (see below), whose sum is σ = 2194583040. Its totient is φ = 232087680.

The previous prime is 752226401. The next prime is 752226413. The reversal of 752226408 is 804622257.

752226408 is a `hidden beast` number, since 7 + 5 + 2 + 2 + 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 (752226401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44010 + ... + 58662.

It is an arithmetic number, because the mean of its divisors is an integer number (22860240).

Almost surely, 2^752226408 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 752226408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097291520).

752226408 is an abundant number, since it is smaller than the sum of its proper divisors (1442356632).

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

752226408 is a wasteful number, since it uses less digits than its factorization.

752226408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14719 (or 14712 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 752226408 is about 27426.7462160571. The cubic root of 752226408 is about 909.4584420121.

It can be divided in two parts, 7522 and 26408, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 752226408 in words is "seven hundred fifty-two million, two hundred twenty-six thousand, four hundred eight".