743460048 has 120 divisors (see below), whose sum is σ = 2213195400. Its totient is φ = 232169472.

The previous prime is 743460043. The next prime is 743460049. The reversal of 743460048 is 840064347.

743460048 is a `hidden beast` number, since 7 + 4 + 3 + 4 + 600 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 742671504 = 888^2 + 27252^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 743459994 and 743460021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743460041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657948 + ... + 659076.

It is an arithmetic number, because the mean of its divisors is an integer number (18443295).

Almost surely, 2^743460048 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 743460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106597700).

743460048 is an abundant number, since it is smaller than the sum of its proper divisors (1469735352).

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

743460048 is a wasteful number, since it uses less digits than its factorization.

743460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 743460048 is about 27266.4637971263. The cubic root of 743460048 is about 905.9117204162.

The spelling of 743460048 in words is "seven hundred forty-three million, four hundred sixty thousand, forty-eight".