746518920 has 160 divisors (see below), whose sum is σ = 2613669120. Its totient is φ = 170567040.

The previous prime is 746518879. The next prime is 746518933. The reversal of 746518920 is 29815647.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286825 + ... + 289415.

It is an arithmetic number, because the mean of its divisors is an integer number (16335432).

Almost surely, 2^746518920 is an apocalyptic number.

746518920 is a gapful number since it is divisible by the number (70) 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 746518920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306834560).

746518920 is an abundant number, since it is smaller than the sum of its proper divisors (1867150200).

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

746518920 is a wasteful number, since it uses less digits than its factorization.

746518920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 746518920 is about 27322.4984216305. The cubic root of 746518920 is about 907.1524399697.

The spelling of 746518920 in words is "seven hundred forty-six million, five hundred eighteen thousand, nine hundred twenty".