746164224 has 260 divisors, whose sum is σ = 2414346396. Its totient is φ = 228261888.

The previous prime is 746164213. The next prime is 746164241. The reversal of 746164224 is 422461647.

746164224 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 642 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 406425600 + 339738624 = 20160^2 + 18432^2 .

It is a super-2 number, since 2×746164224² = 1113522098355044352, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4313002 + ... + 4313174.

Almost surely, 2^746164224 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 746164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207173198).

746164224 is an abundant number, since it is smaller than the sum of its proper divisors (1668182172).

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

746164224 is a wasteful number, since it uses less digits than its factorization.

746164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 746164224 is about 27316.0067359781. The cubic root of 746164224 is about 907.0087444309.

The spelling of 746164224 in words is "seven hundred forty-six million, one hundred sixty-four thousand, two hundred twenty-four".