746166528 has 162 divisors, whose sum is σ = 2229616662. Its totient is φ = 239984640.

The previous prime is 746166523. The next prime is 746166581. The reversal of 746166528 is 825661647.

746166528 is a `hidden beast` number, since 7 + 4 + 61 + 66 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 566820864 + 179345664 = 23808^2 + 13392^2 .

It is not an unprimeable number, because it can be changed into a prime (746166523) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2213976 + ... + 2214312.

Almost surely, 2^746166528 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 746166528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114808331).

746166528 is an abundant number, since it is smaller than the sum of its proper divisors (1483450134).

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

746166528 is a wasteful number, since it uses less digits than its factorization.

746166528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 373 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 746166528 is about 27316.0489090205. The cubic root of 746166528 is about 907.0096779814.

The spelling of 746166528 in words is "seven hundred forty-six million, one hundred sixty-six thousand, five hundred twenty-eight".