746224920 has 384 divisors, whose sum is σ = 2954880000. Its totient is φ = 166973184.

The previous prime is 746224883. The next prime is 746224951. The reversal of 746224920 is 29422647.

746224920 is a `hidden beast` number, since 7 + 4 + 622 + 4 + 9 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3122161 + ... + 3122399.

It is an arithmetic number, because the mean of its divisors is an integer number (7695000).

Almost surely, 2^746224920 is an apocalyptic number.

746224920 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 746224920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477440000).

746224920 is an abundant number, since it is smaller than the sum of its proper divisors (2208655080).

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

746224920 is a wasteful number, since it uses less digits than its factorization.

746224920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 746224920 is about 27317.1177103295. The cubic root of 746224920 is about 907.0333370109.

The spelling of 746224920 in words is "seven hundred forty-six million, two hundred twenty-four thousand, nine hundred twenty".