746408520 has 448 divisors, whose sum is σ = 2974708800. Its totient is φ = 166095360.

The previous prime is 746408513. The next prime is 746408527. The reversal of 746408520 is 25804647.

746408520 is a `hidden beast` number, since 7 + 4 + 640 + 8 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (746408513) and next prime (746408527).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746408527) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4169791 + ... + 4169969.

It is an arithmetic number, because the mean of its divisors is an integer number (6639975).

Almost surely, 2^746408520 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 746408520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487354400).

746408520 is an abundant number, since it is smaller than the sum of its proper divisors (2228300280).

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

746408520 is a wasteful number, since it uses less digits than its factorization.

746408520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

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

The square root of 746408520 is about 27320.4780338851. The cubic root of 746408520 is about 907.1077192605.

The spelling of 746408520 in words is "seven hundred forty-six million, four hundred eight thousand, five hundred twenty".