749473920 has 192 divisors, whose sum is σ = 2787384600. Its totient is φ = 184467456.

The previous prime is 749473919. The next prime is 749473939. The reversal of 749473920 is 29374947.

749473920 is a `hidden beast` number, since 7 + 494 + 73 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685601856 + 63872064 = 26184^2 + 7992^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×749473920² = 1123422313520332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69876 + ... + 79884.

Almost surely, 2^749473920 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 749473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393692300).

749473920 is an abundant number, since it is smaller than the sum of its proper divisors (2037910680).

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

749473920 is a wasteful number, since it uses less digits than its factorization.

749473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 749473920 is about 27376.5213275902. The cubic root of 749473920 is about 908.3478132155.

The spelling of 749473920 in words is "seven hundred forty-nine million, four hundred seventy-three thousand, nine hundred twenty".